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bdach/Choosing cutoff skin element sizes.ipynb

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Choosing cutoff skin element sizes.ipynb
{
"cells": [
{
"cell_type": "markdown",
"id": "97bd6e26",
"metadata": {},
"source": [
"# Choosing cutoff skin element sizes\n",
"\n",
"This notebook describes the process of analysing skin element size data provided by @RockRoller01 [in this github comment](https://github.com/ppy/osu/issues/24973#issuecomment-1747956285) in order to choose an appropriate maximum size for elements that constrains abuse without breaking too many user skins.\n",
"\n",
"As stated in the data, _all sizes are interpreted as @1x sizes_. Allowances are made such that @2x sprites can be 2x as large as all of the limits stated henceforth in this document.\n",
"\n",
"Begin by importing the usual."
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "556138ab",
"metadata": {},
"outputs": [],
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "markdown",
"id": "27be9062",
"metadata": {},
"source": [
"## Data processing tedium (you can skip this bit)\n",
"\n",
"The data is in a bit of an inconvenient format, but we'll make do. Let's read it all in first."
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "a455465a",
"metadata": {},
"outputs": [],
"source": [
"with open('skin element sizes.md', 'r', encoding='utf-8') as file:\n",
" size_data = file.readlines()"
]
},
{
"cell_type": "markdown",
"id": "99a6ff76",
"metadata": {},
"source": [
"We can discard the first 3 lines."
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "d30b4af2",
"metadata": {},
"outputs": [],
"source": [
"size_data = size_data[3:]"
]
},
{
"cell_type": "markdown",
"id": "42afec4a",
"metadata": {},
"source": [
"I maybe want this to be a dict of data frames or something like that so..."
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "7c9d86a6",
"metadata": {},
"outputs": [],
"source": [
"element_sizes = {}\n",
"current_element = None\n",
"current_table = ''\n",
"\n",
"for line in size_data:\n",
" if line.startswith('# '):\n",
" if current_element is not None:\n",
" element_sizes[current_element] = current_table\n",
" \n",
" current_element = line[2:].strip()\n",
" current_table = ''\n",
" else:\n",
" current_table += line\n",
"\n",
"if current_element is not None:\n",
" element_sizes[current_element] = current_table"
]
},
{
"cell_type": "markdown",
"id": "288a87f9",
"metadata": {},
"source": [
"That looks roughly correct."
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "ae5b9a0a",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"dict_keys(['fruit-orange-overlay', 'taikobigcircleoverlay-0', 'sliderendcircleoverlay', 'fruit-bananas', 'taikohitcircleoverlay-0', 'fruit-drop-overlay', 'fruit-pear', 'sliderb0', 'hitcircle', 'followpoint-0', 'sliderb-spec', 'fruit-apple-overlay', 'sliderstartcircle', 'sliderb', 'default-3', 'default-2', 'default-1', 'default-0', 'sliderb-nd', 'sliderfollowcircle', 'fruit-grapes', 'taikohitcircleoverlay', 'default-9', 'default-8', 'default-7', 'taikobigcircle', 'default-6', 'default-5', 'default-4', 'fruit-bananas-overlay', 'sliderstartcircleoverlay', 'sliderendcircle', 'taikobigcircleoverlay', 'fruit-drop', 'fruit-orange', 'followpoint', 'reversearrow', 'fruit-grapes-overlay', 'taikohitcircle', 'fruit-pear-overlay', 'hitcircleoverlay', 'fruit-apple', 'sliderfollowcircle-0'])"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"element_sizes.keys()"
]
},
{
"cell_type": "markdown",
"id": "11cdb3c1",
"metadata": {},
"source": [
"Now let's turn these markdown tables into actual data frames."
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "1673f1d2",
"metadata": {},
"outputs": [],
"source": [
"import io"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "2f72964b",
"metadata": {},
"outputs": [],
"source": [
"for key, value in element_sizes.items():\n",
" element_sizes[key] = pd.read_table(io.StringIO(value), sep='|', header=0, skipinitialspace=True) \\\n",
" .dropna(axis=1, how='all') \\\n",
" .iloc[1:]\n",
" element_sizes[key].rename(columns={'w x h ': 'w x h', \"count \": 'count'}, inplace=True)\n",
" element_sizes[key]['count'] = element_sizes[key]['count'].astype('int')"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "fdfff1de",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>w x h</th>\n",
" <th>count</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>0 x 0</td>\n",
" <td>1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>1 x 1</td>\n",
" <td>15</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>5 x 5</td>\n",
" <td>1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>14 x 128</td>\n",
" <td>1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>5</th>\n",
" <td>24 x 24</td>\n",
" <td>1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>...</th>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" </tr>\n",
" <tr>\n",
" <th>110</th>\n",
" <td>447 x 447</td>\n",
" <td>1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>111</th>\n",
" <td>450 x 450</td>\n",
" <td>1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>112</th>\n",
" <td>500 x 500</td>\n",
" <td>2</td>\n",
" </tr>\n",
" <tr>\n",
" <th>113</th>\n",
" <td>512 x 512</td>\n",
" <td>2</td>\n",
" </tr>\n",
" <tr>\n",
" <th>114</th>\n",
" <td>900 x 900</td>\n",
" <td>4</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>114 rows × 2 columns</p>\n",
"</div>"
],
"text/plain": [
" w x h count\n",
"1 0 x 0 1\n",
"2 1 x 1 15\n",
"3 5 x 5 1\n",
"4 14 x 128 1\n",
"5 24 x 24 1\n",
".. ... ...\n",
"110 447 x 447 1\n",
"111 450 x 450 1\n",
"112 500 x 500 2\n",
"113 512 x 512 2\n",
"114 900 x 900 4\n",
"\n",
"[114 rows x 2 columns]"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"element_sizes['sliderb0']"
]
},
{
"cell_type": "markdown",
"id": "f4bdc6a2",
"metadata": {},
"source": [
"Almost there, but I kinda wanna split the `w x h` column into two."
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "f5229678",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>count</th>\n",
" <th>w</th>\n",
" <th>h</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>15</td>\n",
" <td>1</td>\n",
" <td>1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>1</td>\n",
" <td>5</td>\n",
" <td>5</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>1</td>\n",
" <td>14</td>\n",
" <td>128</td>\n",
" </tr>\n",
" <tr>\n",
" <th>5</th>\n",
" <td>1</td>\n",
" <td>24</td>\n",
" <td>24</td>\n",
" </tr>\n",
" <tr>\n",
" <th>...</th>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" </tr>\n",
" <tr>\n",
" <th>110</th>\n",
" <td>1</td>\n",
" <td>447</td>\n",
" <td>447</td>\n",
" </tr>\n",
" <tr>\n",
" <th>111</th>\n",
" <td>1</td>\n",
" <td>450</td>\n",
" <td>450</td>\n",
" </tr>\n",
" <tr>\n",
" <th>112</th>\n",
" <td>2</td>\n",
" <td>500</td>\n",
" <td>500</td>\n",
" </tr>\n",
" <tr>\n",
" <th>113</th>\n",
" <td>2</td>\n",
" <td>512</td>\n",
" <td>512</td>\n",
" </tr>\n",
" <tr>\n",
" <th>114</th>\n",
" <td>4</td>\n",
" <td>900</td>\n",
" <td>900</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>114 rows × 3 columns</p>\n",
"</div>"
],
"text/plain": [
" count w h\n",
"1 1 0 0\n",
"2 15 1 1\n",
"3 1 5 5\n",
"4 1 14 128\n",
"5 1 24 24\n",
".. ... ... ...\n",
"110 1 447 447\n",
"111 1 450 450\n",
"112 2 500 500\n",
"113 2 512 512\n",
"114 4 900 900\n",
"\n",
"[114 rows x 3 columns]"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"for _, df in element_sizes.items():\n",
" df['w'] = df.iloc[:, 0].apply(lambda x: int(x.split(' x ')[0]))\n",
" df['h'] = df.iloc[:, 0].apply(lambda x: int(x.split(' x ')[1]))\n",
" df.drop('w x h', axis=1, inplace=True)\n",
" \n",
"element_sizes['sliderb0']"
]
},
{
"cell_type": "markdown",
"id": "45a2ae9e",
"metadata": {},
"source": [
"Very nice. We're ready to go."
]
},
{
"cell_type": "markdown",
"id": "1a2085ef",
"metadata": {},
"source": [
"## Actual number crunching\n",
"\n",
"We'll go element by element here. For each of the elements I want to visualise - to borrow statistics terms - the \"distribution\" and the \"cumulative distribution\" of the sprite sizes. This is supposed to introduce an ubiquitous measure that can be used to judge future constraints in exactly the same manner.\n",
"\n",
"We'll be doing plots per-elements and seeing how things look. The first one will be the most messy as we have to set everything up, but hopefully everything after that should be smooth sailing."
]
},
{
"cell_type": "markdown",
"id": "2fa68410",
"metadata": {},
"source": [
"### `hitcircle`"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "a2696530",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>count</th>\n",
" <th>w</th>\n",
" <th>h</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>9</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>259</td>\n",
" <td>1</td>\n",
" <td>1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>2</td>\n",
" <td>3</td>\n",
" <td>3</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>17</td>\n",
" <td>20</td>\n",
" <td>20</td>\n",
" </tr>\n",
" <tr>\n",
" <th>5</th>\n",
" <td>3</td>\n",
" <td>50</td>\n",
" <td>50</td>\n",
" </tr>\n",
" <tr>\n",
" <th>...</th>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" </tr>\n",
" <tr>\n",
" <th>94</th>\n",
" <td>1</td>\n",
" <td>300</td>\n",
" <td>300</td>\n",
" </tr>\n",
" <tr>\n",
" <th>95</th>\n",
" <td>1</td>\n",
" <td>384</td>\n",
" <td>384</td>\n",
" </tr>\n",
" <tr>\n",
" <th>96</th>\n",
" <td>1</td>\n",
" <td>400</td>\n",
" <td>400</td>\n",
" </tr>\n",
" <tr>\n",
" <th>97</th>\n",
" <td>1</td>\n",
" <td>500</td>\n",
" <td>500</td>\n",
" </tr>\n",
" <tr>\n",
" <th>98</th>\n",
" <td>1</td>\n",
" <td>960</td>\n",
" <td>540</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>98 rows × 3 columns</p>\n",
"</div>"
],
"text/plain": [
" count w h\n",
"1 9 0 0\n",
"2 259 1 1\n",
"3 2 3 3\n",
"4 17 20 20\n",
"5 3 50 50\n",
".. ... ... ...\n",
"94 1 300 300\n",
"95 1 384 384\n",
"96 1 400 400\n",
"97 1 500 500\n",
"98 1 960 540\n",
"\n",
"[98 rows x 3 columns]"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"element_sizes['hitcircle']"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "aaf64404",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1200x1200 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def element_size_distribution(df):\n",
" wbins = np.arange(-16, df['w'].max() + 32, 32)\n",
" hbins = np.arange(-16, df['h'].max() + 32, 32)\n",
" xticks = np.arange(0, df['w'].max() + 32, 32)\n",
" yticks = np.arange(0, df['h'].max() + 32, 32)\n",
"\n",
" fig, axs = plt.subplots(2, 2, figsize=(12, 12))\n",
" axs[0, 0].hist(df['w'], wbins)\n",
" axs[0, 0].set_xticks(xticks)\n",
" axs[0, 0].set_xticklabels(xticks, rotation=90)\n",
" axs[0, 0].set_xlim(wbins[0], wbins[-1])\n",
" axs[0, 1].axis('off')\n",
" axs[1, 0].hist2d(df['w'], df['h'], [wbins, hbins])\n",
" axs[1, 0].set_xticks(xticks)\n",
" axs[1, 0].set_xticklabels(xticks, rotation=90)\n",
" axs[1, 0].set_yticks(yticks)\n",
" axs[1, 1].hist(df['h'], hbins, orientation='horizontal')\n",
" axs[1, 1].set_yticks(yticks)\n",
" axs[1, 1].set_ylim(hbins[0], hbins[-1])\n",
" \n",
"element_size_distribution(element_sizes['hitcircle'])"
]
},
{
"cell_type": "markdown",
"id": "9ffd25ab",
"metadata": {},
"source": [
"Neat. So we see a general trend of \"square\". 128x128 is by far the common size, but skins frequently go a little bigger than that.\n",
"\n",
"Note that these are _binned histograms_, i.e. there is aggregation going on here to make this easier to read.\n",
"\n",
"What I'm now gonna do with this is make a sorts of \"empirical cumulative distribution\" $F(x, y)$ of these sizes. This will help us answer the question of \"how many percent of skins will be broken if we enforce a maximum `hitcirclesize` of $x \\times y$."
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "62e1155d",
"metadata": {},
"outputs": [],
"source": [
"def cumulative_distribution(df):\n",
" xs = np.arange(0, df['w'].max())\n",
" ys = np.arange(0, df['h'].max())\n",
" zz = np.zeros([len(xs), len(ys)])\n",
"\n",
" for _, row in df.iterrows():\n",
" zz += row['count'] * np.pad(np.ones((row['w'], row['h'])), ((0, zz.shape[0] - row['w']), (0, zz.shape[1] - row['h'])))\n",
"\n",
" zz /= df['count'].sum()\n",
" zz = 1 - zz\n",
" return zz\n",
" \n",
"ecdf = cumulative_distribution(element_sizes['hitcircle'])"
]
},
{
"cell_type": "markdown",
"id": "1220c57d",
"metadata": {},
"source": [
"Now we can examine how many skins we're actually breaking by enforcing the existing size of 128x128:"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "f890caff",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.122633964276193"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"1 - ecdf[128, 128]"
]
},
{
"cell_type": "markdown",
"id": "aa6c581d",
"metadata": {},
"source": [
"So that's about 12%. Mostly for curiosity, we can also plot this:"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "41894b29",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1000x1000 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def plot_cumulative_distribution(ecdf):\n",
" plt.figure(figsize=(10, 10))\n",
" plt.imshow(np.transpose(ecdf), cmap='plasma')\n",
" plt.colorbar()\n",
" plt.xticks(np.arange(0, ecdf.shape[0], 64))\n",
" plt.yticks(np.arange(0, ecdf.shape[1], 64))\n",
" \n",
"plot_cumulative_distribution(ecdf)"
]
},
{
"cell_type": "markdown",
"id": "8d5a216e",
"metadata": {},
"source": [
"Generally 128x128 will be fine for most, but we can give some extra allowance here. 50%, i.e. 192x192, gives:"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "9d9c64c4",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.981604905358571"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ecdf[192, 192]"
]
},
{
"cell_type": "markdown",
"id": "abdb7b4b",
"metadata": {},
"source": [
"100%, i.e. 256x256, gives:"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "93c3e145",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.9986670221274326"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ecdf[256, 256]"
]
},
{
"cell_type": "markdown",
"id": "9a6ac110",
"metadata": {},
"source": [
"### `sliderstartcircle`"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "afb46f1b",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1200x1200 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"element_size_distribution(element_sizes['sliderstartcircle'])"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "c7b57bbc",
"metadata": {},
"outputs": [],
"source": [
"ecdf = cumulative_distribution(element_sizes['sliderstartcircle'])"
]
},
{
"cell_type": "markdown",
"id": "55abe2dc",
"metadata": {},
"source": [
"Existing enforced 128x128 maximum breaks"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "59e8e092",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.1356589147286822"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"1 - ecdf[128, 128]"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "7d839682",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1000x1000 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_cumulative_distribution(ecdf)"
]
},
{
"cell_type": "markdown",
"id": "50f581b8",
"metadata": {},
"source": [
"Two obvious proposals are 192x192 which breaks"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "352abbcd",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.029715762273901825"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"1 - ecdf[192, 192]"
]
},
{
"cell_type": "markdown",
"id": "84807c1f",
"metadata": {},
"source": [
"of skins, or 256x256 which breaks"
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "9a8aa42f",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.009043927648578864"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"1 - ecdf[256, 256]"
]
},
{
"cell_type": "markdown",
"id": "af2c0e1e",
"metadata": {},
"source": [
"of skins."
]
},
{
"cell_type": "markdown",
"id": "06f3ee54",
"metadata": {},
"source": [
"### `sliderendcircle`"
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "63b9a639",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1200x1200 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"element_size_distribution(element_sizes['sliderendcircle'])"
]
},
{
"cell_type": "code",
"execution_count": 24,
"id": "d94b5d2e",
"metadata": {},
"outputs": [],
"source": [
"ecdf = cumulative_distribution(element_sizes['sliderendcircle'])"
]
},
{
"cell_type": "markdown",
"id": "30cb8ca7",
"metadata": {},
"source": [
"Existing minimum breaks"
]
},
{
"cell_type": "code",
"execution_count": 25,
"id": "8e3e3807",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.05340453938584777"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"1 - ecdf[128, 128]"
]
},
{
"cell_type": "code",
"execution_count": 26,
"id": "00183ce3",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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q16+vjIwMSdLXX3+tY8eOKTo6Wl5eXvLy8tLBgwf117/+VTVr1iy2zZSUFGVnZzvKoUOHynszAAAAcIMzDIvbletFhfRotG3bVrt27XKatnv3bsXExEiSHnnkEcXHxzvNT0hI0COPPKL+/fsX26avr698fX3LJ2AAAAAApVIhicaIESPUpk0bvfTSS+rdu7c2bdqk6dOna/r06ZKk4OBgBQcHOy3j7e2t8PBw1atXryJCBgAAAFAKFZJo3HrrrVqwYIFSUlL0/PPPq1atWpo8ebL69u1bEeEAAAAAxTMskjs9jZuhUyXr2rWrunbtetX1Dxw4UH7BAAAAADBVhVwMDgAAAODGVmE9GgAAAIDbc7eH5LlTLCWgRwMAAACA6W78Hg2LcbEAAAAA+N3c+IkGAAAAUEaGcbG4C3eKpSQMnQIAAABgOhINAAAAAKZj6BQAAADgit3NHtjnTrGUwPQeja+++krdunVTZGSkLBaLFi5c6JiXn5+vUaNGqXHjxgoICFBkZKT69eunI0eOOLWxe/dude/eXSEhIbJarbrjjju0evVqs0MFAAAAUE5MTzRycnIUFxenKVOmFJl39uxZbdu2TWPGjNG2bdv0+eefa9euXbrvvvuc6nXt2lUXLlzQqlWrtHXrVsXFxalr167KzMw0O1wAAAAA5cD0oVOdO3dW586di50XGBiotLQ0p2nvvPOObrvtNmVkZCg6OlonTpzQnj17NGPGDDVp0kSS9PLLL+vdd9/Vzp07FR4ebnbIAAAAQLEMwyLDjR6S506xlKTCr9HIzs6WxWJR1apVJUnBwcGqV6+e5s6dq+bNm8vX11fvvfeewsLC1KJFi9KvwK9A8jM35mtleNkrOgQAAACgXFVoonH+/HmNGjVKffr0kdVqlSRZLBatWLFCPXr0UJUqVeTh4aGwsDAtW7ZM1apVc9lWbm6ucnNzHa9tNpskKS+qQHlV3OyGwx7XTyYKAAAAlEWF3d42Pz9fvXv3lmEYmjp1qmO6YRgaMmSIwsLC9PXXX2vTpk3q0aOHunXrpqNHj7psLzU1VYGBgY4SFRV1cYaHLn6xd6cCAACA64Nhcb9ynaiQRKMwyTh48KDS0tIcvRmStGrVKi1dulQffvih2rZtq+bNm+vdd9+Vv7+/5syZ47LNlJQUZWdnO8qhQ4d+j00BAAAAUIzffehUYZKxZ88erV69WsHBwU7zz549K0ny8HDOgTw8PGS3u762wdfXV76+vuYHDAAAAKDUTE80zpw5o7179zpe79+/X+np6QoKClJERIT+/Oc/a9u2bVq6dKkKCgoct6wNCgqSj4+PWrdurWrVqikpKUljx46Vv7+/3n//fe3fv19dunQxO1wAAADAJcNukeFGD8lzp1hKYvrQqS1btqhZs2Zq1qyZJCk5OVnNmjXT2LFjdfjwYS1evFg///yzmjZtqoiICEdZv369JCkkJETLli3TmTNn1KFDB7Vs2VLr1q3TokWLFBcXZ3a4AAAAAMqB6T0a7dq1k2G4vsvTleYVatmypZYvX25KPIbnxXK9MLhYHAAAADeACn+ORnkzvCwyvPjyDgAAgDIw5F53enKzpzZcSYXd3hYAAADAjYtEAwAAAIDpbvihUwAAAEBZGYZFhhsNnXKnWEpCjwYAAAAA05FoAAAAADAdQ6cAAAAAV+yWi8VduFMsJaBHAwAAAIDpSDQAAAAAmM70ROOrr75St27dFBkZKYvFooULFzrNz8rK0qOPPqrIyEhVqlRJiYmJ2rNnj2P+yZMnNXToUNWrV0/+/v6Kjo7WsGHDlJ2dXaZ4DMuNWQAAAFD+DMP9yvXC9EQjJydHcXFxmjJlSpF5hmGoR48e2rdvnxYtWqTt27crJiZG8fHxysnJkSQdOXJER44c0cSJE7Vz507Nnj1by5Yt08CBA80OFQAAAEA5Mf1i8M6dO6tz587FztuzZ4+++eYb7dy5Uw0bNpQkTZ06VeHh4frggw/02GOPqVGjRvrss88cy9SpU0cTJkzQww8/rAsXLsjLi+vXAQAAAHf3u16jkZubK0ny8/P7LQAPD/n6+mrdunUul8vOzpbVar1ikpGbmyubzeZUAAAAgGtR+MA+dyrXi9810YiNjVV0dLRSUlL066+/Ki8vT6+88op+/vlnHT16tNhlTpw4oRdeeEGDBw++YtupqakKDAx0lKioqPLYBAAAAABX4XdNNLy9vfX5559r9+7dCgoKUqVKlbR69Wp17txZHh5FQ7HZbOrSpYsaNGig8ePHX7HtlJQUZWdnO8qhQ4fKaSvcl8E9xAAAAOAmfvcLHlq0aKH09HRlZ2crLy9PoaGhatWqlVq2bOlU7/Tp00pMTFSVKlW0YMECeXt7X7FdX19f+fr6FplueEoGl3UAAACgLHhgX5lV2G/ggYGBCg0N1Z49e7RlyxZ1797dMc9ms6lTp07y8fHR4sWLna7pAAAAAOD+TP+t/8yZM9q7d6/j9f79+5Wenq6goCBFR0frk08+UWhoqKKjo7Vjxw49/fTT6tGjhzp16iTptyTj7NmzmjdvntOF3aGhofL09DQ7ZAAAAAAmMz3R2LJli9q3b+94nZycLElKSkrS7NmzdfToUSUnJysrK0sRERHq16+fxowZ46i/bds2bdy4UZJUt25dp7b379+vmjVrmh0yAAAAUCx3u9OTO8VSEtMTjXbt2sm4wiMLhw0bpmHDhpV5eQAAAADuj/sUAQAAADAd92MCAAAAXLJIbjVcyZ1iuTJ6NAAAAACYjkQDAAAAgOkYOgUAAAC4wF2nyo4eDQAAAACmI9EAAAAAYDqGTgEAAACu2C0Xi7twp1hKYHqPRmpqqm699VZVqVJFYWFh6tGjh3bt2uVUp127drJYLE7liSeeKNLW7Nmz1aRJE/n5+SksLExDhgwxO1wAAAAA5cD0Ho21a9dqyJAhuvXWW3XhwgX94x//UKdOnfTDDz8oICDAUW/QoEF6/vnnHa8rVark1M6kSZP0+uuv67XXXlOrVq2Uk5OjAwcOmB0uAAAAgHJgeqKxbNkyp9ezZ89WWFiYtm7dqrvuussxvVKlSgoPDy+2jV9//VWjR4/WkiVL1LFjR8f0Jk2amB0uAAAA4JJhXCzuwp1iKUm5XwyenZ0tSQoKCnKa/q9//UshISFq1KiRUlJSdPbsWce8tLQ02e12HT58WPXr11eNGjXUu3dvHTp0qNTrNzwopSkAAACAGcr1YnC73a7hw4erbdu2atSokWP6Qw89pJiYGEVGRuq7777TqFGjtGvXLn3++eeSpH379slut+ull17Sm2++qcDAQI0ePVr33HOPvvvuO/n4+BRZV25urnJzcx2vbTabJMnwvFgAAAAA/H7KNdEYMmSIdu7cqXXr1jlNHzx4sOP/jRs3VkREhDp27KiffvpJderUkd1uV35+vt566y116tRJkvTBBx8oPDxcq1evVkJCQpF1paam6rnnnivPzQEAAMAfDA/sK7tyGyzz1FNPaenSpVq9erVq1KhxxbqtWrWSJO3du1eSFBERIUlq0KCBo05oaKhCQkKUkZFRbBspKSnKzs52lLIMs0LpGR7X0UBBAAAA/G5M79EwDENDhw7VggULtGbNGtWqVavEZdLT0yX9lmC0bdtWkrRr1y5HknLy5EmdOHFCMTExxbbh6+srX19fE7YAAAAAwLUyPdEYMmSI5s+fr0WLFqlKlSrKzMyUJAUGBsrf318//fST5s+fr3vvvVfBwcH67rvvNGLECN11112Ou0rdcsst6t69u55++mlNnz5dVqtVKSkpio2NVfv27c0OGQAAACieYblY3IU7xVIC04dOTZ06VdnZ2WrXrp0iIiIc5aOPPpIk+fj4aMWKFerUqZNiY2P117/+VT179tSSJUuc2pk7d65atWqlLl266O6775a3t7eWLVsmb29vs0MGAAAAYLJyGTp1JVFRUVq7dm2J7VitVs2YMUMzZswwKzQAAAAAv5NyvesUAAAAcF2zW2TY3Wi4kjvFUgIe0QYAAADAdCQaAAAAAEzH0CmUGc/QAAAANzoe2Fd2N3yiYXgYfCEGAAAAfmcMnQIAAABguhu+RwMAAAAoMx7YV2b0aAAAAAAwHYkGAAAAANOZnmhMnTpVTZo0kdVqldVqVevWrfXll19Kkk6ePKmhQ4eqXr168vf3V3R0tIYNG6bs7GynNjIyMtSlSxdVqlRJYWFhGjlypC5cuGB2qAAAAMAVFd51yp3K9cL0azRq1Kihl19+WTfffLMMw9CcOXPUvXt3bd++XYZh6MiRI5o4caIaNGiggwcP6oknntCRI0f06aefSpIKCgrUpUsXhYeHa/369Tp69Kj69esnb29vvfTSS2aHCwAAAKAcWAzDKPd7vwYFBem1117TwIEDi8z75JNP9PDDDysnJ0deXl768ssv1bVrVx05ckTVq1eXJE2bNk2jRo3S8ePH5ePjc1XrtNlsCgwMVMbR2rJaPU3dHlQAi72iIyjC8HC/mAAAuJ7YbHbFhB1Udna2rFZrRYfjpPC75E9D71cVX++KDsfhdG6+6rz9uVvus8uV6zUaBQUF+vDDD5WTk6PWrVsXW6dwJ3l5Xexc2bBhgxo3buxIMiQpISFBNptN33//vct15ebmymazORUAAADgWhh29yvXi3JJNHbs2KHKlSvL19dXTzzxhBYsWKAGDRoUqXfixAm98MILGjx4sGNaZmamU5IhyfE6MzPT5TpTU1MVGBjoKFFRUSZtDQAAAIDSKpdEo169ekpPT9fGjRv15JNPKikpST/88INTHZvNpi5duqhBgwYaP378Na8zJSVF2dnZjnLo0KFrbhMAAABA2ZTLA/t8fHxUt25dSVKLFi20efNmvfnmm3rvvfckSadPn1ZiYqKqVKmiBQsWyNv7t3Fv4eHh2rRpk1N7WVlZjnmu+Pr6ytfX1+xNAQAAwB8ZD+wrs9/lORp2u125ubmSLvZkdOrUST4+Plq8eLH8/Pyc6rZu3Vo7duzQsWPHHNPS0tJktVqLHX4FAAAAwP2Y3qORkpKizp07Kzo6WqdPn9b8+fO1Zs0aLV++3JFknD17VvPmzXO6aDs0NFSenp7q1KmTGjRooEceeUSvvvqqMjMzNXr0aA0ZMoQeCwAAAOA6YXqicezYMfXr109Hjx5VYGCgmjRpouXLl+uee+7RmjVrtHHjRklyDK0qtH//ftWsWVOenp5aunSpnnzySbVu3VoBAQFKSkrS888/b3aoAAAAwBW520Py3CmWkpieaMyYMcPlvHbt2ulqHtsRExOjL774wsywAAAAAPyOfpdrNAAAAAD8sZTLXacAAACAGwFDp8qOHg0AAAAApiPRAAAAAGA6hk4BAAAArvDAvjKjRwMAAACA6Ug0AAAAAJiOoVMAAACAC4YhGXb3Ga50FY+kcxum92hMnTpVTZo0kdVqldVqVevWrfXll1865mdmZuqRRx5ReHi4AgIC1Lx5c3322WfFtpWbm6umTZvKYrEoPT3d7FABAAAAlBPTE40aNWro5Zdf1tatW7VlyxZ16NBB3bt31/fffy9J6tevn3bt2qXFixdrx44duv/++9W7d29t3769SFt///vfFRkZaXaIAAAAAMqZ6YlGt27ddO+99+rmm2/WLbfcogkTJqhy5cr65ptvJEnr16/X0KFDddttt6l27doaPXq0qlatqq1btzq18+WXX+o///mPJk6caHaIAAAAwFUpfGCfO5XrRbleDF5QUKAPP/xQOTk5at26tSSpTZs2+uijj3Ty5EnZ7XZ9+OGHOn/+vNq1a+dYLisrS4MGDdI///lPVapUqTxDBAAAAFAOyuVi8B07dqh169Y6f/68KleurAULFqhBgwaSpI8//lgPPPCAgoOD5eXlpUqVKmnBggWqW7euJMkwDD366KN64okn1LJlSx04cOCq1pmbm6vc3FzHa5vNdvE/FkOy2E3dPgAAAABXVi49GvXq1VN6ero2btyoJ598UklJSfrhhx8kSWPGjNGpU6e0YsUKbdmyRcnJyerdu7d27NghSXr77bd1+vRppaSklGqdqampCgwMdJSoqCjTtwsAAAB/MIYbluuExTDK/yZZ8fHxqlOnjv7+97+rbt262rlzpxo2bOg0v27dupo2bZp69OihJUuWyGL5bfxZQUGBPD091bdvX82ZM6fYdRTXoxEVFaWMzFqyWnlcCMxneNBTBgDAtbDZ7IoJO6js7GxZrdaKDseJzWZTYGCgfnzsAVXx8anocBxO5+Up9v8+cst9drnf5Tkadrtdubm5Onv2rCTJw8P5i7+np6fs9otf2t566y29+OKLjnlHjhxRQkKCPvroI7Vq1crlOnx9feXr61sO0QMAAAAoLdMTjZSUFHXu3FnR0dE6ffq05s+frzVr1mj58uWKjY1V3bp19fjjj2vixIkKDg7WwoULlZaWpqVLl0qSoqOjndqrXLmyJKlOnTqqUaOG2eECAAAALrnbnZ7cKZaSmJ5oHDt2TP369dPRo0cVGBioJk2aaPny5brnnnskSV988YWeeeYZdevWTWfOnFHdunU1Z84c3XvvvWaHAgAAAKCCmJ5ozJgx44rzb775ZpdPAi9OzZo19TtcRgIAAADARL/LNRoAAADA9YihU2XH7ZgAAAAAmI5EAwAAAIDpGDoFAAAAuGDYLTLs7jNcyZ1iKQk9GgAAAABMR6IBAAAAwHQMnQIAAABcMSwXi7twp1hKQI8GAAAAcIObMmWKatasKT8/P7Vq1UqbNm26Yv1Tp05pyJAhioiIkK+vr2655RZ98cUXpVpnuScaL7/8siwWi4YPH15knmEY6ty5sywWixYuXOg0b/PmzerYsaOqVq2qatWqKSEhQd9++215hwsAAADcUD766CMlJydr3Lhx2rZtm+Li4pSQkKBjx44VWz8vL0/33HOPDhw4oE8//VS7du3S+++/r5tuuqlU6y3XRGPz5s1677331KRJk2LnT548WRZL0e6fM2fOKDExUdHR0dq4caPWrVunKlWqKCEhQfn5+eUZMgAAAOBQ+MA+dyqlNWnSJA0aNEj9+/dXgwYNNG3aNFWqVEkzZ84stv7MmTN18uRJLVy4UG3btlXNmjV19913Ky4urlTrLbdE48yZM+rbt6/ef/99VatWrcj89PR0vf7668Vu4I8//qiTJ0/q+eefV7169dSwYUONGzdOWVlZOnjwYHmFDAAAANxQ8vLytHXrVsXHxzumeXh4KD4+Xhs2bCh2mcWLF6t169YaMmSIqlevrkaNGumll15SQUFBqdZdbonGkCFD1KVLF6eNKnT27Fk99NBDmjJlisLDw4vMr1evnoKDgzVjxgzl5eXp3LlzmjFjhurXr6+aNWuWV8gAAADAdcFmszmV3NzcYuudOHFCBQUFql69utP06tWrKzMzs9hl9u3bp08//VQFBQX64osvNGbMGL3++ut68cUXSxVjudx16sMPP9S2bdu0efPmYuePGDFCbdq0Uffu3YudX6VKFa1Zs0Y9evTQCy+8IEm6+eabtXz5cnl5FR9ybm6u0w622WzXuBUAAAD4oyvrcKXyUhhLVFSU0/Rx48Zp/PjxpqzDbrcrLCxM06dPl6enp1q0aKHDhw/rtdde07hx4666HdMTjUOHDunpp59WWlqa/Pz8isxfvHixVq1ape3bt7ts49y5cxo4cKDatm2rDz74QAUFBZo4caK6dOmizZs3y9/fv8gyqampeu6550zdFgAAAMAdHTp0SFar1fHa19e32HohISHy9PRUVlaW0/SsrKxiRxZJUkREhLy9veXp6emYVr9+fWVmZiovL08+Pj5XFaPpQ6e2bt2qY8eOqXnz5vLy8pKXl5fWrl2rt956S15eXkpLS9NPP/2kqlWrOuZLUs+ePdWuXTtJ0vz583XgwAHNmjVLt956q26//XbNnz9f+/fv16JFi4pdb0pKirKzsx3l0KFDZm8aAAAA4BasVqtTcZVo+Pj4qEWLFlq5cqVjmt1u18qVK9W6detil2nbtq327t0ru93umLZ7925FRERcdZIhlUOPRseOHbVjxw6naf3791dsbKxGjRqlkJAQPf74407zGzdurDfeeEPdunWTdPEaDg8PD6c7UhW+vnSDL+Xr6+tyBwMAAABlYRgXi7soSyzJyclKSkpSy5Ytddttt2ny5MnKyclR//79JUn9+vXTTTfdpNTUVEnSk08+qXfeeUdPP/20hg4dqj179uill17SsGHDSrVe0xONKlWqqFGjRk7TAgICFBwc7JheXDdNdHS0atWqJUm65557NHLkSA0ZMkRDhw6V3W7Xyy+/LC8vL7Vv397skAEAAIAb1gMPPKDjx49r7NixyszMVNOmTbVs2TLHBeIZGRny8PhtoFNUVJSWL1+uESNGqEmTJrrpppv09NNPa9SoUaVab7lcDH6tYmNjtWTJEj333HNq3bq1PDw81KxZMy1btkwREREVHR4AAABwXXnqqaf01FNPFTtvzZo1Raa1bt1a33zzzTWt83dJNIoL/lJGMX1A99xzj+65555yiggAAAAombvedep6UK5PBgcAAADwx0SiAQAAAMB0bnmNBgAAAOAW7JaLxV24UywloEcDAAAAgOlINAAAAACYjqFTAAAAgAvcdars6NEAAAAAYDoSDQAAAACmY+gUAAAA4AJDp8rO9B6N8ePHy2KxOJXY2FjH/OnTp6tdu3ayWq2yWCw6deqU0/IHDhzQwIEDVatWLfn7+6tOnToaN26c8vLyyhSP4WGnUMqlAAAAwLVy6dFo2LChVqxY8dtKvH5bzdmzZ5WYmKjExESlpKQUWfbHH3+U3W7Xe++9p7p162rnzp0aNGiQcnJyNHHixPIIFwAAAIDJyiXR8PLyUnh4eLHzhg8fLklas2ZNsfMLk5BCtWvX1q5duzR16lQSDQAAAPyuGDpVduVyMfiePXsUGRmp2rVrq2/fvsrIyLim9rKzsxUUFHTFOrm5ubLZbE4FAAAAQMUwPdFo1aqVZs+erWXLlmnq1Knav3+/7rzzTp0+fbpM7e3du1dvv/22Hn/88SvWS01NVWBgoKNERUWVaX0AAAAArp3pQ6c6d+7s+H+TJk3UqlUrxcTE6OOPP9bAgQNL1dbhw4eVmJioXr16adCgQVesm5KSouTkZMdrm81GsgEAAIBr5F5DpyR3iuXKyv32tlWrVtUtt9yivXv3lmq5I0eOqH379mrTpo2mT59eYn1fX1/5+vqWNUwAAAAAJir3B/adOXNGP/30kyIiIq56mcOHD6tdu3Zq0aKFZs2aJQ8PnisIAAAAXE9M79H429/+pm7duikmJkZHjhzRuHHj5OnpqT59+kiSMjMzlZmZ6ejh2LFjh6pUqaLo6GgFBQU5koyYmBhNnDhRx48fd7Tt6k5WAAAAQLkwLBeLu3CnWEpgeqLx888/q0+fPvrll18UGhqqO+64Q998841CQ0MlSdOmTdNzzz3nqH/XXXdJkmbNmqVHH31UaWlp2rt3r/bu3asaNWo4tW0YhtnhAgAAACgHFuMG/fZus9kUGBiog8diZLUy9AoAAMDd2Gx2xYQdVHZ2tqxWa0WH46Twu+S2Xo+psrdPRYfjcCY/T80/+T+33GeXK/eLwQEAAIDrlWG/WNyFO8VSEn7qBwAAAGA6Eg0AAAAApmPoFAAAAOCCYbjXA/vcKZaS0KMBAAAAwHQkGgAAAABMx9ApAAAAwAWGTpUdPRoAAAAATGd6ojF+/HhZLBanEhsbK0k6cOBAkXmF5ZNPPnFqZ/bs2WrSpIn8/PwUFhamIUOGmB0qAAAAgHJSLkOnGjZsqBUrVvy2Eq+Lq4mKitLRo0ed6k6fPl2vvfaaOnfu7Jg2adIkvf7663rttdfUqlUr5eTk6MCBA+URKgAAAOASQ6fKrlwSDS8vL4WHhxeZ7unpWWT6ggUL1Lt3b1WuXFmS9Ouvv2r06NFasmSJOnbs6KjXpEmT8ggVAAAAQDkol2s09uzZo8jISNWuXVt9+/ZVRkZGsfW2bt2q9PR0DRw40DEtLS1Ndrtdhw8fVv369VWjRg317t1bhw4dKo9QAQAAAJQD0xONVq1aafbs2Vq2bJmmTp2q/fv3684779Tp06eL1J0xY4bq16+vNm3aOKbt27dPdrtdL730kiZPnqxPP/1UJ0+e1D333KO8vDyX683NzZXNZnMqAAAAwLUwjN+GT7lHqeg9cvVMTzQ6d+6sXr16qUmTJkpISNAXX3yhU6dO6eOPP3aqd+7cOc2fP9+pN0OS7Ha78vPz9dZbbykhIUG33367PvjgA+3Zs0erV692ud7U1FQFBgY6SlRUlNmbBgAAAOAqlfvtbatWrapbbrlFe/fudZr+6aef6uzZs+rXr5/T9IiICElSgwYNHNNCQ0MVEhLicgiWJKWkpCg7O9tRGGoFAAAAVJxyTzTOnDmjn376yZFAFJoxY4buu+8+hYaGOk1v27atJGnXrl2OaSdPntSJEycUExPjcj2+vr6yWq1OBQAAALgmhsX9ynXC9ETjb3/7m9auXasDBw5o/fr1+tOf/iRPT0/16dPHUWfv3r366quv9NhjjxVZ/pZbblH37t319NNPa/369dq5c6eSkpIUGxur9u3bmx0uAAAAgHJgeqLx888/q0+fPqpXr5569+6t4OBgffPNN049FzNnzlSNGjXUqVOnYtuYO3euWrVqpS5duujuu++Wt7e3li1bJm9vb7PDBQAAAFAOLIZxPV27fvVsNpsCAwN18FiMrNZyHyEGAACAUrLZ7IoJO6js7Gy3G/Ze+F3ym25PqrK3b0WH43AmP1e3L5nqlvvscnwDBwAAAGA6Eg0AAAAApvOq6AAAAAAAd1X4oDx34U6xlIQeDQAAAACmI9EAAAAAYDqGTgEAAAAuGPaLxV24UywloUcDAAAAgOlINAAAAACYjqFTAAAAgAvcdarsyqVH4/Dhw3r44YcVHBwsf39/NW7cWFu2bCm27hNPPCGLxaLJkyc7TT958qT69u0rq9WqqlWrauDAgTpz5kx5hAsAAADAZKb3aPz6669q27at2rdvry+//FKhoaHas2ePqlWrVqTuggUL9M033ygyMrLIvL59++ro0aNKS0tTfn6++vfvr8GDB2v+/PlmhwwAAADAZKYnGq+88oqioqI0a9Ysx7RatWoVqXf48GENHTpUy5cvV5cuXZzm/fe//9WyZcu0efNmtWzZUpL09ttv695779XEiROLTUwAAAAAszF0quxMHzq1ePFitWzZUr169VJYWJiaNWum999/36mO3W7XI488opEjR6phw4ZF2tiwYYOqVq3qSDIkKT4+Xh4eHtq4cWOx683NzZXNZnMqAAAAACqG6YnGvn37NHXqVN18881avny5nnzySQ0bNkxz5sxx1HnllVfk5eWlYcOGFdtGZmamwsLCnKZ5eXkpKChImZmZxS6TmpqqwMBAR4mKijJvowAAAACUiulDp+x2u1q2bKmXXnpJktSsWTPt3LlT06ZNU1JSkrZu3ao333xT27Ztk8ViXtdPSkqKkpOTHa9tNhvJBgAAAK4JQ6fKzvQejYiICDVo0MBpWv369ZWRkSFJ+vrrr3Xs2DFFR0fLy8tLXl5eOnjwoP7617+qZs2akqTw8HAdO3bMqY0LFy7o5MmTCg8PL3a9vr6+slqtTgUAAABAxTC9R6Nt27batWuX07Tdu3crJiZGkvTII48oPj7eaX5CQoIeeeQR9e/fX5LUunVrnTp1Slu3blWLFi0kSatWrZLdblerVq3MDhkAAACAyUxPNEaMGKE2bdropZdeUu/evbVp0yZNnz5d06dPlyQFBwcrODjYaRlvb2+Fh4erXr16ki72gCQmJmrQoEGaNm2a8vPz9dRTT+nBBx/kjlMAAAD43TB0quxMHzp16623asGCBfrggw/UqFEjvfDCC5o8ebL69u1bqnb+9a9/KTY2Vh07dtS9996rO+64w5GsAAAAAHBvpvdoSFLXrl3VtWvXq65/4MCBItOCgoJ4OB8AAABwnSqXRAMAAAC4ETB0quxMHzoFAAAAACQaAAAAAEzH0CkAAADABYZOlR09GgAAAABMR6IBAAAAwHQMnQIAAABcMSyS3Y2GKzF0CgAAAMAfmemJRs2aNWWxWIqUIUOGSJLOnz+vIUOGKDg4WJUrV1bPnj2VlZVVbFu//PKLatSoIYvFolOnTpkdKgAAAIByYnqisXnzZh09etRR0tLSJEm9evWSJI0YMUJLlizRJ598orVr1+rIkSO6//77i21r4MCBatKkidkhAgAAAFel8K5T7lSuF6YnGqGhoQoPD3eUpUuXqk6dOrr77ruVnZ2tGTNmaNKkSerQoYNatGihWbNmaf369frmm2+c2pk6dapOnTqlv/3tb2aHCAAAAKCcles1Gnl5eZo3b54GDBggi8WirVu3Kj8/X/Hx8Y46sbGxio6O1oYNGxzTfvjhBz3//POaO3euPDyuLsTc3FzZbDanAgAAAKBilGuisXDhQp06dUqPPvqoJCkzM1M+Pj6qWrWqU73q1asrMzNT0sWEoU+fPnrttdcUHR191etKTU1VYGCgo0RFRZm1GQAAAPiDquhhUgydcmHGjBnq3LmzIiMjr3qZlJQU1a9fXw8//HCp1pWSkqLs7GxHOXToUGnDBQAAAGCScks0Dh48qBUrVuixxx5zTAsPD1deXl6RO0hlZWUpPDxckrRq1Sp98skn8vLykpeXlzp27ChJCgkJ0bhx41yuz9fXV1ar1akAAAAAqBjl9sC+WbNmKSwsTF26dHFMa9Gihby9vbVy5Ur17NlTkrRr1y5lZGSodevWkqTPPvtM586dcyyzefNmDRgwQF9//bXq1KlTXuECAAAARRjGxeIu3CmWkpRLomG32zVr1iwlJSXJy+u3VQQGBmrgwIFKTk5WUFCQrFarhg4dqtatW+v222+XpCLJxIkTJyRJ9evXL3JtBwAAAAD3VC6JxooVK5SRkaEBAwYUmffGG2/Iw8NDPXv2VG5urhISEvTuu++WRxgAAAAAKki5JBqdOnWS4aJfx8/PT1OmTNGUKVOuqq127dq5bAsAAAAoV+52pyd3iqUE5XrXKQAAAAB/TCQaAAAAAExXbnedAgAAAK537vaQPHeKpST0aAAAAAAwHYkGAAAAANMxdAoAAABwgaFTZUePBgAAAADTkWgAAAAAMJ3piUbNmjVlsViKlCFDhjjqbNiwQR06dFBAQICsVqvuuusunTt3zjF/9+7d6t69u0JCQmS1WnXHHXdo9erVZocKAAAAXFHh0Cl3KtcL0xONzZs36+jRo46SlpYmSerVq5eki0lGYmKiOnXqpE2bNmnz5s166qmn5OHxWyhdu3bVhQsXtGrVKm3dulVxcXHq2rWrMjMzzQ4XAAAAQDkw/WLw0NBQp9cvv/yy6tSpo7vvvluSNGLECA0bNkzPPPOMo069evUc/z9x4oT27NmjGTNmqEmTJo423n33Xe3cuVPh4eFmhwwAAADAZOV6jUZeXp7mzZunAQMGyGKx6NixY9q4caPCwsLUpk0bVa9eXXfffbfWrVvnWCY4OFj16tXT3LlzlZOTowsXLui9995TWFiYWrRoUZ7hAgAAAE4Mu8XtyvWiXG9vu3DhQp06dUqPPvqoJGnfvn2SpPHjx2vixIlq2rSp5s6dq44dO2rnzp26+eabZbFYtGLFCvXo0UNVqlSRh4eHwsLCtGzZMlWrVs3lunJzc5Wbm+t4bbPZynPTAAAAAFxBufZozJgxQ507d1ZkZKQkyW63S5Ief/xx9e/fX82aNdMbb7yhevXqaebMmZIkwzA0ZMgQhYWF6euvv9amTZvUo0cPdevWTUePHnW5rtTUVAUGBjpKVFRUeW4aAAAAgCsot0Tj4MGDWrFihR577DHHtIiICElSgwYNnOrWr19fGRkZkqRVq1Zp6dKl+vDDD9W2bVs1b95c7777rvz9/TVnzhyX60tJSVF2drajHDp0qBy2CgAAAH8khuFud56q6D1y9cpt6NSsWbMUFhamLl26OKbVrFlTkZGR2rVrl1Pd3bt3q3PnzpKks2fPSpLTXagKXxf2iBTH19dXvr6+ZoUPAAAA4BqUS6Jht9s1a9YsJSUlycvrt1VYLBaNHDlS48aNU1xcnJo2bao5c+boxx9/1KeffipJat26tapVq6akpCSNHTtW/v7+ev/997V//36npAUAAACA+yqXRGPFihXKyMjQgAEDiswbPny4zp8/rxEjRujkyZOKi4tTWlqa6tSpI0kKCQnRsmXL9Oyzz6pDhw7Kz89Xw4YNtWjRIsXFxZVHuAAAAECx3O0hee4US0kshnE9jfS6ejabTYGBgTp4LEZWa7le8w4AAIAysNnsigk7qOzsbFmt1ooOx0nhd8kvb09RgJdfRYfjkHPhvDp/k+qW++xyfAMHAAAAYLpyfY4GAAAAcD1j6FTZ0aMBAAAAwHQkGgAAAABMx9ApAAAAwAWGTpUdPRoAAAAATEeiAQAAAMB0DJ0CAAAAXGDoVNnRowEAAADAdKYnGgUFBRozZoxq1aolf39/1alTRy+88IIufQD5+PHjFRsbq4CAAFWrVk3x8fHauHGjY/6BAwc0cOBApzbGjRunvLw8s8MFAAAAUA5MHzr1yiuvaOrUqZozZ44aNmyoLVu2qH///goMDNSwYcMkSbfccoveeecd1a5dW+fOndMbb7yhTp06ae/evQoNDdWPP/4ou92u9957T3Xr1tXOnTs1aNAg5eTkaOLEiWaHDAAAABSLoVNlZzEu7WowQdeuXVW9enXNmDHDMa1nz57y9/fXvHnzil3GZrMpMDBQK1asUMeOHYut89prr2nq1Knat2/fVcVR2ObBYzGyWhkhBgAA4G5sNrtiwg4qOztbVqu1osNxUvhdcknLMQrw8qvocBxyLpxXty0vuOU+u5zp38DbtGmjlStXavfu3ZKkb7/9VuvWrVPnzp2LrZ+Xl6fp06crMDBQcXFxLtvNzs5WUFCQy/m5ubmy2WxOBQAAAEDFMH3o1DPPPCObzabY2Fh5enqqoKBAEyZMUN++fZ3qLV26VA8++KDOnj2riIgIpaWlKSQkpNg29+7dq7fffvuKw6ZSU1P13HPPmbotAAAA+GNj6FTZmd6j8fHHH+tf//qX5s+fr23btmnOnDmaOHGi5syZ41Svffv2Sk9P1/r165WYmKjevXvr2LFjRdo7fPiwEhMT1atXLw0aNMjlelNSUpSdne0ohw4dMnvTAAAAAFwl03s0Ro4cqWeeeUYPPvigJKlx48Y6ePCgUlNTlZSU5KgXEBCgunXrqm7durr99tt18803a8aMGUpJSXHUOXLkiNq3b682bdpo+vTpV1yvr6+vfH19zd4cAAAAAGVgeqJx9uxZeXg4d5R4enrKbrdfcTm73a7c3FzH68OHD6t9+/Zq0aKFZs2aVaRNAAAAoLwZhkWG3X2GK11PQ6dMTzS6deumCRMmKDo6Wg0bNtT27ds1adIkDRgwQJKUk5OjCRMm6L777lNERIROnDihKVOm6PDhw+rVq5eki0lGu3btFBMTo4kTJ+r48eOO9sPDw80OGQAAAIDJTE803n77bY0ZM0Z/+ctfdOzYMUVGRurxxx/X2LFjJV3s3fjxxx81Z84cnThxQsHBwbr11lv19ddfq2HDhpKktLQ07d27V3v37lWNGjWc2jf5brwAAAAAyoHpz9FwFzxHAwAAwL1dD8/RWNhsvAI83eg5GgXn1WP7eLfcZ5fjGzgAAAAA05FoAAAAADCd6ddoAAAAADcKw7hY3IU7xVISejQAAAAAmI5EAwAAAIDpGDoFAAAAuGA3LLK70UPy3CmWktCjAQAAAMB0JBoAAAAATGd6olFQUKAxY8aoVq1a8vf3V506dfTCCy84PdE7KytLjz76qCIjI1WpUiUlJiZqz549RdrasGGDOnTooICAAFmtVt111106d+6c2SEDAAAAxTIMi9uV64Xp12i88sormjp1qubMmaOGDRtqy5Yt6t+/vwIDAzVs2DAZhqEePXrI29tbixYtktVq1aRJkxQfH68ffvhBAQEBki4mGYmJiUpJSdHbb78tLy8vffvtt/LwoBMGAAAAcHemJxrr169X9+7d1aVLF0lSzZo19cEHH2jTpk2SpD179uibb77Rzp071bBhQ0nS1KlTFR4erg8++ECPPfaYJGnEiBEaNmyYnnnmGUfb9erVMztcAAAAAOXA9O6BNm3aaOXKldq9e7ck6dtvv9W6devUuXNnSVJubq4kyc/P77cgPDzk6+urdevWSZKOHTumjRs3KiwsTG3atFH16tV19913O+YDAAAAvws3GCrlNGzqOho6ZXqi8cwzz+jBBx9UbGysvL291axZMw0fPlx9+/aVJMXGxio6OlopKSn69ddflZeXp1deeUU///yzjh49Kknat2+fJGn8+PEaNGiQli1bpubNm6tjx47FXsshXUxgbDabUwEAAABQMUxPND7++GP961//0vz587Vt2zbNmTNHEydO1Jw5cyRJ3t7e+vzzz7V7924FBQWpUqVKWr16tTp37uy4/sJut0uSHn/8cfXv31/NmjXTG2+8oXr16mnmzJnFrjc1NVWBgYGOEhUVZfamAQAAALhKpl+jMXLkSEevhiQ1btxYBw8eVGpqqpKSkiRJLVq0UHp6urKzs5WXl6fQ0FC1atVKLVu2lCRFRERIkho0aODUdv369ZWRkVHselNSUpScnOx4bbPZSDYAAABwTdztTk/uFEtJTO/ROHv2bJE7Q3l6ejp6KS4VGBio0NBQ7dmzR1u2bFH37t0lXbyAPDIyUrt27XKqv3v3bsXExBS7Xl9fX1mtVqcCAAAAoGKY3qPRrVs3TZgwQdHR0WrYsKG2b9+uSZMmacCAAY46n3zyiUJDQxUdHa0dO3bo6aefVo8ePdSpUydJksVi0ciRIzVu3DjFxcWpadOmmjNnjn788Ud9+umnZocMAAAAwGSmJxpvv/22xowZo7/85S86duyYIiMj9fjjj2vs2LGOOkePHlVycrKysrIUERGhfv36acyYMU7tDB8+XOfPn9eIESN08uRJxcXFKS0tTXXq1DE7ZAAAAKBYDJ0qO4tx6SO7byA2m02BgYE6eCxGVisP+QMAAHA3NptdMWEHlZ2d7XbD3gu/S37ccIIqefqVvMDv5GzBefX+/lm33GeX4xs4AAAAANOZPnQKAAAAuFEYdosMi/sMVzLs7hNLSejRAAAAAGA6Eg0AAAAApmPoFAAAAOACd50qO3o0AAAAAJiORAMAAACA6Rg6BQAAALjA0Kmyo0cDAAAAuMFNmTJFNWvWlJ+fn1q1aqVNmzZd1XIffvihLBaLevToUep1lkuicfr0aQ0fPlwxMTHy9/dXmzZttHnzZqc6//3vf3XfffcpMDBQAQEBuvXWW5WRkeGYf/78eQ0ZMkTBwcGqXLmyevbsqaysrPIIFwAAALhhffTRR0pOTta4ceO0bds2xcXFKSEhQceOHbvicgcOHNDf/vY33XnnnWVab7kkGo899pjS0tL0z3/+Uzt27FCnTp0UHx+vw4cPS5J++ukn3XHHHYqNjdWaNWv03XffacyYMfLz++3x7iNGjNCSJUv0ySefaO3atTpy5Ijuv//+8ggXAAAAKFbh0Cl3KqU1adIkDRo0SP3791eDBg00bdo0VapUSTNnznS5TEFBgfr27avnnntOtWvXLtO+M/0ajXPnzumzzz7TokWLdNddd0mSxo8fryVLlmjq1Kl68cUX9eyzz+ree+/Vq6++6liuTp06jv9nZ2drxowZmj9/vjp06CBJmjVrlurXr69vvvlGt99+u9lhAwAAANcNm83m9NrX11e+vr5F6uXl5Wnr1q1KSUlxTPPw8FB8fLw2bNjgsv3nn39eYWFhGjhwoL7++usyxWh6j8aFCxdUUFDg1DshSf7+/lq3bp3sdrv+/e9/65ZbblFCQoLCwsLUqlUrLVy40FF369atys/PV3x8vGNabGysoqOjXe6Q3Nxc2Ww2pwIAAADciKKiohQYGOgoqampxdY7ceKECgoKVL16dafp1atXV2ZmZrHLrFu3TjNmzND7779/TTGanmhUqVJFrVu31gsvvKAjR46ooKBA8+bN04YNG3T06FEdO3ZMZ86c0csvv6zExET95z//0Z/+9Cfdf//9Wrt2rSQpMzNTPj4+qlq1qlPbV9ohqampTjs7KirK7E0DAADAH4zdkOyGxY3KxbgOHTqk7OxsR7m0x+JanD59Wo888ojef/99hYSEXFNb5XJ723/+858aMGCAbrrpJnl6eqp58+bq06ePtm7dKrvdLknq3r27RowYIUlq2rSp1q9fr2nTpunuu+8u0zpTUlKUnJzseG2z2Ug2AAAAcEOyWq2yWq0l1gsJCZGnp2eRmyplZWUpPDy8SP2ffvpJBw4cULdu3RzTCr+/e3l5adeuXU6XPFxJuVwMXqdOHa1du1ZnzpzRoUOHtGnTJuXn56t27doKCQmRl5eXGjRo4LRM/fr1HXedCg8PV15enk6dOuVUx9UOkS6OSyvc4Ve74wEAAIAbmY+Pj1q0aKGVK1c6ptntdq1cuVKtW7cuUj82NlY7duxQenq6o9x3331q37690tPTS/VDfrk+sC8gIEABAQH69ddftXz5cr366qvy8fHRrbfeql27djnV3b17t2JiYiRJLVq0kLe3t1auXKmePXtKknbt2qWMjIxidwgAAABQHm6EB/YlJycrKSlJLVu21G233abJkycrJydH/fv3lyT169dPN910k1JTU+Xn56dGjRo5LV94OcPl00tSLonG8uXLZRiG6tWrp71792rkyJGKjY11bMzIkSP1wAMP6K677lL79u21bNkyLVmyRGvWrJEkBQYGauDAgUpOTlZQUJCsVquGDh2q1q1bc8cpAAAAoBQeeOABHT9+XGPHjlVmZqaaNm2qZcuWOS4Qz8jIkIeH+QOdyiXRKLwg5eeff1ZQUJB69uypCRMmyNvbW5L0pz/9SdOmTVNqaqqGDRumevXq6bPPPtMdd9zhaOONN96Qh4eHevbsqdzcXCUkJOjdd98tj3ABAACAG9pTTz2lp556qth5hT/2uzJ79uwyrdNiGIZRpiXdnM1mU2BgoA4ei5HVWi6XogAAAOAa2Gx2xYQdVHZ2tttdX1v4XXJunddUydO/osNxOFtwTv1+GumW++xyfAMHAAAAYDoSDQAAAACmK9e7TgEAAADXM8OQDHtFR/Gb6+miB3o0AAAAAJiORAMAAACA6Rg6BQAAALhwIzywr6LQowEAAADAdCQaAAAAAExX6kTjq6++Urdu3RQZGSmLxaKFCxc6zTcMQ2PHjlVERIT8/f0VHx+vPXv2OOYfOHBAAwcOVK1ateTv7686depo3LhxysvLK3Z9e/fuVZUqVVS1atXShgoAAABcE7thcbtyvSh1opGTk6O4uDhNmTKl2Pmvvvqq3nrrLU2bNk0bN25UQECAEhISdP78eUnSjz/+KLvdrvfee0/ff/+93njjDU2bNk3/+Mc/irSVn5+vPn366M477yxtmAAAAAAqUKkvBu/cubM6d+5c7DzDMDR58mSNHj1a3bt3lyTNnTtX1atX18KFC/Xggw8qMTFRiYmJjmVq166tXbt2aerUqZo4caJTe6NHj1ZsbKw6duyo9evXlzZUAAAAABXE1Gs09u/fr8zMTMXHxzumBQYGqlWrVtqwYYPL5bKzsxUUFOQ0bdWqVfrkk09c9pxcLjc3VzabzakAAAAA16LwrlPuVK4XpiYamZmZkqTq1as7Ta9evbpj3uX27t2rt99+W48//rhj2i+//KJHH31Us2fPltVqvap1p6amKjAw0FGioqLKuBUAAAAArlWF3nXq8OHDSkxMVK9evTRo0CDH9EGDBumhhx7SXXfdddVtpaSkKDs721EOHTpUHiEDAAAAuAqmJhrh4eGSpKysLKfpWVlZjnmFjhw5ovbt26tNmzaaPn2607xVq1Zp4sSJ8vLykpeXlwYOHKjs7Gx5eXlp5syZxa7b19dXVqvVqQAAAADXoqKHSV3PQ6dMfTJ4rVq1FB4erpUrV6pp06aSJJvNpo0bN+rJJ5901Dt8+LDat2+vFi1aaNasWfLwcM53NmzYoIKCAsfrRYsW6ZVXXtH69et10003mRkyAAAAgHJQ6kTjzJkz2rt3r+P1/v37lZ6erqCgIEVHR2v48OF68cUXdfPNN6tWrVoaM2aMIiMj1aNHD0kXk4x27dopJiZGEydO1PHjxx1tFfZ61K9f32mdW7ZskYeHhxo1alSWbQQAAADwOyt1orFlyxa1b9/e8To5OVmSlJSUpNmzZ+vvf/+7cnJyNHjwYJ06dUp33HGHli1bJj8/P0lSWlqa9u7dq71796pGjRpObRuGcS3bAgAAAJjK3YYruVMsJbEYN+i3e5vNpsDAQB08FiOrtUKveQcAAEAxbDa7YsIOKjs72+2ury38Lvl+1GRV8vCv6HAcztrPadCh4W65zy7HN3AAAAAApjP1YnAAAADgRmIYFtndaLjS9TR0ih4NAAAAAKYj0QAAAABgOoZOAQAAAC4YxsXiLtwplpLQowEAAADAdCQaAAAAAEzH0CkAAADABcNukSH3udOTYXefWEpS6h6Nr776St26dVNkZKQsFosWLlzoNN8wDI0dO1YRERHy9/dXfHy89uzZ41Rn9+7d6t69u0JCQmS1WnXHHXdo9erVTnU2b96sjh07qmrVqqpWrZoSEhL07bffln4LAQAAAPzuSp1o5OTkKC4uTlOmTCl2/quvvqq33npL06ZN08aNGxUQEKCEhASdP3/eUadr1666cOGCVq1apa1btyouLk5du3ZVZmamJOnMmTNKTExUdHS0Nm7cqHXr1qlKlSpKSEhQfn5+GTcVAAAAwO/FYhhlv3bdYrFowYIF6tGjh6SLvRmRkZH661//qr/97W+SpOzsbFWvXl2zZ8/Wgw8+qBMnTig0NFRfffWV7rzzTknS6dOnZbValZaWpvj4eG3ZskW33nqrMjIyFBUVJUnasWOHmjRpoj179qhu3bolxlb42PiDx2JktXIpCgAAgLux2eyKCTuo7OxsWa3Wig7HSeF3yanhb8vfw7+iw3E4Zz+nJzOHuuU+u5yp38D379+vzMxMxcfHO6YFBgaqVatW2rBhgyQpODhY9erV09y5c5WTk6MLFy7ovffeU1hYmFq0aCFJqlevnoKDgzVjxgzl5eXp3LlzmjFjhurXr6+aNWuaGTIAAACAcmDqxeCFQ5+qV6/uNL169eqOeRaLRStWrFCPHj1UpUoVeXh4KCwsTMuWLVO1atUkSVWqVNGaNWvUo0cPvfDCC5Kkm2++WcuXL5eXV/Eh5+bmKjc31/HaZrOZuWkAAAAASuF3H1NkGIaGDBmisLAwff3119q0aZN69Oihbt266ejRo5Kkc+fOaeDAgWrbtq2++eYb/b//9//UqFEjdenSRefOnSu23dTUVAUGBjpK4ZArAAAAoKzshsXtyvXC1EQjPDxckpSVleU0PSsryzFv1apVWrp0qT788EO1bdtWzZs317vvvit/f3/NmTNHkjR//nwdOHBAs2bN0q233qrbb79d8+fP1/79+7Vo0aJi152SkqLs7GxHOXTokJmbBgAAAKAUTE00atWqpfDwcK1cudIxzWazaePGjWrdurUk6ezZsxdX7OG8ag8PD9ntdkcdDw8PWSwWp/kWi8VR53K+vr6yWq1OBQAAAEDFKHWicebMGaWnpys9PV3SxQvA09PTlZGRIYvFouHDh+vFF1/U4sWLtWPHDvXr10+RkZGOO1O1bt1a1apVU1JSkr799lvt3r1bI0eO1P79+9WlSxdJ0j333KNff/1VQ4YM0X//+199//336t+/v7y8vNS+fXvTNh4AAAC4EsNwv3K9KPXF4Fu2bHH6sp+cnCxJSkpK0uzZs/X3v/9dOTk5Gjx4sE6dOqU77rhDy5Ytk5+fnyQpJCREy5Yt07PPPqsOHTooPz9fDRs21KJFixQXFydJio2N1ZIlS/Tcc8+pdevW8vDwULNmzbRs2TJFRESYsd0AAAAAytE1PUfDnfEcDQAAAPd2PTxH452wd9zuORpPHXvKLffZ5Uy9vS0AAABwIzEMiww3utOTO8VSEn7qBwAAAGA6Eg0AAAAApmPoFAAAAOCCuz0kz51iKQk9GgAAAABMR6IBAAAAwHQMnQIAAABccLeH5LlTLCWhRwMAAACA6Ug0AAAAAJiu1InGV199pW7duikyMlIWi0ULFy50mv/555+rU6dOCg4OlsViUXp6epE22rVrJ4vF4lSeeOIJx/xvv/1Wffr0UVRUlPz9/VW/fn29+eabpd44AAAA4FoUPrDPncr1otTXaOTk5CguLk4DBgzQ/fffX+z8O+64Q71799agQYNctjNo0CA9//zzjteVKlVy/H/r1q0KCwvTvHnzFBUVpfXr12vw4MHy9PTUU089VdqQAQAAAPzOSp1odO7cWZ07d3Y5/5FHHpEkHThw4IrtVKpUSeHh4cXOGzBggNPr2rVra8OGDfr8889JNAAAAIDrQIVdo/Gvf/1LISEhatSokVJSUnT27Nkr1s/OzlZQUJDL+bm5ubLZbE4FAAAAuBaFD+xzp3K9qJDb2z700EOKiYlRZGSkvvvuO40aNUq7du3S559/Xmz99evX66OPPtK///1vl22mpqbqueeeK6+QAQAAAJRChSQagwcPdvy/cePGioiIUMeOHfXTTz+pTp06TnV37typ7t27a9y4cerUqZPLNlNSUpScnOx4bbPZFBUVZX7wAAAAAErkFg/sa9WqlSRp7969TonGDz/8oI4dO2rw4MEaPXr0Fdvw9fWVr69vucYJAACAPxbDkAx7RUfxGx7YV0qFt8CNiIhwTPv+++/Vvn17JSUlacKECRUUGQAAAICyKHWPxpkzZ7R3717H6/379ys9PV1BQUGKjo7WyZMnlZGRoSNHjkiSdu3aJUkKDw9XeHi4fvrpJ82fP1/33nuvgoOD9d1332nEiBG666671KRJE0kXh0t16NBBCQkJSk5OVmZmpiTJ09NToaGh17zRAAAAAMpXqXs0tmzZombNmqlZs2aSpOTkZDVr1kxjx46VJC1evFjNmjVTly5dJEkPPvigmjVrpmnTpkmSfHx8tGLFCnXq1EmxsbH661//qp49e2rJkiWOdXz66ac6fvy45s2bp4iICEe59dZbr3mDAQAAgKtV0Q/nu54f2GcxjOtppNfVs9lsCgwM1MFjMbJa3WKEGAAAAC5hs9kVE3ZQ2dnZslqtFR2Ok8Lvkq8Fvid/i39Fh+NwzjinkdmPu+U+uxzfwAEAAACYzi3uOgUAAAC4I7thkV3uM1zpenpgHz0aAAAAAExHogEAAADAdAydAgAAAFwxJLe6c5JbBXNl9GgAAAAAMB2JBgAAAADTMXQKAAAAcMFuyM3uOlXREVy9UvdofPXVV+rWrZsiIyNlsVi0cOFCx7z8/HyNGjVKjRs3VkBAgCIjI9WvXz8dOXLEqY0JEyaoTZs2qlSpkqpWrepyXbNnz1aTJk3k5+ensLAwDRkypLThAgAAAKgApU40cnJyFBcXpylTphSZd/bsWW3btk1jxozRtm3b9Pnnn2vXrl267777nOrl5eWpV69eevLJJ12uZ9KkSXr22Wf1zDPP6Pvvv9eKFSuUkJBQ2nABAAAAVIBSD53q3LmzOnfuXOy8wMBApaWlOU175513dNtttykjI0PR0dGSpOeee07SxR6L4vz6668aPXq0lixZoo4dOzqmN2nSpLThAgAAAGVmuNldpwx3CqYE5X4xeHZ2tiwWyxWHSF0uLS1Ndrtdhw8fVv369VWjRg317t1bhw4dKr9AAQAAAJimXBON8+fPa9SoUerTp4+sVutVL7dv3z7Z7Xa99NJLmjx5sj799FOdPHlS99xzj/Ly8opdJjc3VzabzakAAAAAqBjllmjk5+erd+/eMgxDU6dOLdWydrtd+fn5euutt5SQkKDbb79dH3zwgfbs2aPVq1cXu0xqaqoCAwMdJSoqyozNAAAAwB+YYVjcrlwvyiXRKEwyDh48qLS0tFL1ZkhSRESEJKlBgwaOaaGhoQoJCVFGRkaxy6SkpCg7O9tRGGYFAAAAVBzTn6NRmGQU9j4EBweXuo22bdtKknbt2qUaNWpIkk6ePKkTJ04oJiam2GV8fX3l6+tb9sABAAAAmKbUicaZM2e0d+9ex+v9+/crPT1dQUFBioiI0J///Gdt27ZNS5cuVUFBgTIzMyVJQUFB8vHxkSRlZGTo5MmTysjIUEFBgdLT0yVJdevWVeXKlXXLLbeoe/fuevrppzV9+nRZrValpKQoNjZW7du3N2GzAQAAgJJdfGCf+7ieHthX6kRjy5YtTl/2k5OTJUlJSUkaP368Fi9eLElq2rSp03KrV69Wu3btJEljx47VnDlzHPOaNWtWpM7cuXM1YsQIdenSRR4eHrr77ru1bNkyeXt7lzZkAAAAAL8zi2FcT3fjvXo2m02BgYE6eCxGVmu538UXAAAApWSz2RUTdlDZ2dmlvqa3vBV+l3zB/335WSpVdDgO542zGnNukFvus8uZfo0GAAAAcKPggX1lx0/9AAAAAExHogEAAADAdAydAgAAAFywGxbZ5T4PybP/0R/YBwAAAOCPjUQDAAAAgOkYOgUAAAC4wF2nyo4eDQAAAACmI9EAAAAAYLpSJxpfffWVunXrpsjISFksFi1cuNAxLz8/X6NGjVLjxo0VEBCgyMhI9evXT0eOHHFqY/fu3erevbtCQkJktVp1xx13aPXq1U51MjIy1KVLF1WqVElhYWEaOXKkLly4ULatBAAAAMrAMNyvXC9KnWjk5OQoLi5OU6ZMKTLv7Nmz2rZtm8aMGaNt27bp888/165du3Tfffc51evatasuXLigVatWaevWrYqLi1PXrl2VmZkpSSooKFCXLl2Ul5en9evXa86cOZo9e7bGjh1bxs0EAAAA8HuyGEbZ8yKLxaIFCxaoR48eLuts3rxZt912mw4ePKjo6GidOHFCoaGh+uqrr3TnnXdKkk6fPi2r1aq0tDTFx8fryy+/VNeuXXXkyBFVr15dkjRt2jSNGjVKx48fl4+PT4mx2Ww2BQYG6uCxGFmtjBADAABwNzabXTFhB5WdnS2r1VrR4Tgp/C451vv/5GepVNHhOJw3zur5/Mfccp9drty/gWdnZ8tisahq1aqSpODgYNWrV09z585VTk6OLly4oPfee09hYWFq0aKFJGnDhg1q3LixI8mQpISEBNlsNn3//ffFric3N1c2m82pAAAAANfCbljcrlwvyvX2tufPn9eoUaPUp08fR8ZlsVi0YsUK9ejRQ1WqVJGHh4fCwsK0bNkyVatWTZKUmZnplGRIcrwuHF51udTUVD333HPluDUAAAAArla59Wjk5+erd+/eMgxDU6dOdUw3DENDhgxRWFiYvv76a23atEk9evRQt27ddPTo0TKvLyUlRdnZ2Y5y6NAhMzYDAAAAQBmUS49GYZJx8OBBrVq1ymn82KpVq7R06VL9+uuvjunvvvuu0tLSNGfOHD3zzDMKDw/Xpk2bnNrMysqSJIWHhxe7Tl9fX/n6+pbH5gAAAOAPypCbPbCvogMoBdN7NAqTjD179mjFihUKDg52mn/27NmLK/ZwXrWHh4fsdrskqXXr1tqxY4eOHTvmmJ+Wliar1aoGDRqYHTIAAAAAk5W6R+PMmTPau3ev4/X+/fuVnp6uoKAgRURE6M9//rO2bdumpUuXqqCgwHFNRVBQkHx8fNS6dWtVq1ZNSUlJGjt2rPz9/fX+++9r//796tKliySpU6dOatCggR555BG9+uqryszM1OjRozVkyBB6LQAAAIDrQKkTjS1btqh9+/aO18nJyZKkpKQkjR8/XosXL5YkNW3a1Gm51atXq127dgoJCdGyZcv07LPPqkOHDsrPz1fDhg21aNEixcXFSZI8PT21dOlSPfnkk2rdurUCAgKUlJSk559/vqzbCQAAAJSa3ZDsFR3EJezX0dipUica7dq105UevXE1j+Vo2bKlli9ffsU6MTEx+uKLL0obHgAAAAA3wJPsAAAAAJiuXJ+jAQAAAFzPDFlkyH0ekudOsZSEHg0AAAAApiPRAAAAAGA6hk4BAAAALhhudtepq7jvktugRwMAAACA6Ug0AAAAAJiORAMAAACA6UqdaHz11Vfq1q2bIiMjZbFYtHDhQqf548ePV2xsrAICAlStWjXFx8dr48aNxbaVm5urpk2bymKxKD09vdg6e/fuVZUqVVS1atXShgoAAABcE8MNy/Wi1IlGTk6O4uLiNGXKlGLn33LLLXrnnXe0Y8cOrVu3TjVr1lSnTp10/PjxInX//ve/KzIy0uW68vPz1adPH915552lDRMAAABABSr1Xac6d+6szp07u5z/0EMPOb2eNGmSZsyYoe+++04dO3Z0TP/yyy/1n//8R5999pm+/PLLYtsaPXq0YmNj1bFjR61fv760oQIAAACoIOV6e9u8vDxNnz5dgYGBiouLc0zPysrSoEGDtHDhQlWqVKnYZVetWqVPPvlE6enp+vzzz0tcV25urnJzcx2vbTbbtW8AAAAA/tDsbnZ7W/t1NHaqXC4GX7p0qSpXriw/Pz+98cYbSktLU0hIiCTJMAw9+uijeuKJJ9SyZctil//ll1/06KOPavbs2bJarVe1ztTUVAUGBjpKVFSUadsDAAAAoHTKJdFo37690tPTtX79eiUmJqp37946duyYJOntt9/W6dOnlZKS4nL5QYMG6aGHHtJdd9111etMSUlRdna2oxw6dOiatwMAAABA2ZRLohEQEKC6devq9ttv14wZM+Tl5aUZM2ZIujgkasOGDfL19ZWXl5fq1q0rSWrZsqWSkpIcdSZOnCgvLy95eXlp4MCBys7OlpeXl2bOnFnsOn19fWW1Wp0KAAAAcC0q+g5T1/Ndp8r1Go1Cdrvdcf3EW2+9pRdffNEx78iRI0pISNBHH32kVq1aSZI2bNiggoICR51FixbplVde0fr163XTTTf9HiEDAAAAuAalTjTOnDmjvXv3Ol7v379f6enpCgoKUnBwsCZMmKD77rtPEREROnHihKZMmaLDhw+rV69ekqTo6Gin9ipXrixJqlOnjmrUqCFJql+/vlOdLVu2yMPDQ40aNSptuAAAAAAqQKkTjS1btqh9+/aO18nJyZKkpKQkTZs2TT/++KPmzJmjEydOKDg4WLfeequ+/vprNWzY0LyoAQAAgN8Bd50qO4thGNdRuFfPZrMpMDBQB4/FyGotl0tRAAAAcA1sNrtiwg4qOzvb7a6vLfwuOUIz5Wsp/nEMFSHXOKs3NMAt99nl+AYOAAAAwHS/y8XgAAAAwPXI3e705E6xlIQeDQAAAACmI9EAAAAAYDqGTgEAAAAu2OVmd52q6ABK4YZNNApvpnX69PX0dgAAAPxxFH5Pu0FvgvqHd8MmGr/88oskqVGdQxUcCQAAAK7k9OnTCgwMrOgwYLIbNtEICgqSJGVkZJjywbXZbIqKitKhQ4eu+Z7F7toWsVV8W8RW8W0RW8W3RWwV35Y7x/ZH2U53js3MtgzD0OnTpxUZGXlN7ZQn7jpVdjdsouHhcfE698DAQFMfZmK1Wk1rz13bMru9P0psf5TtNLs9d23L7Pb+KLH9UbbT7PbctS2z23PXtsxu748Sm1lt0ZNx4+KuUwAAAABMd8P2aAAAAADXirtOld0N26Ph6+urcePGydfX1+3ac9e2zG7vjxLbH2U7zW7PXdsyu70/Smx/lO00uz13bcvs9ty1LbPb+6PEZvZ24sZlMbifGAAAAODEZrMpMDBQQzRTvpZKFR2OQ65xVlM0QNnZ2aZeC1QeGDoFAAAAuGBIcqef5d0olBLdsEOnAAAAAFQcEg0AAAAApmPoFAAAAOACd50quxu2R2PKlCmqWbOm/Pz81KpVK23atOmqljt8+LAefvhhBQcHy9/fX40bN9aWLVuKrfvEE0/IYrFo8uTJ+uqrr9StWzdFRkbKYrFo4cKFjnr5+fkaNWqUGjdurICAAEVGRqpfv346cuSIU3u7d+9W9+7dFRISokqVKikoKEghISFF2pOkrKwsPfroo4qMjFSlSpWUmJioPXv2OOafPHlSQ4cOVb169eTt7S0fHx/5+PgoNDRUPXr00K5du5zaa9eunSwWi1N54oknimxzv3795O/vL4vFIg8PD4WHh+vLL78ssk5/f39FR0dr2LBhys7OdmojIyNDXbp0kY+Pj7y8vOTr6yur1arWrVs72pKkzMxMPfLIIwoPD1dAQICaN2+uzz77rNj3Ijc3V02bNpXFYlF6erok6eWXX5bFYtHw4cOL1DcMQ507dy52327evFm1atUqsj9iY2MddaZPn6527drJarXKYrHo1KlTTm0cOHBAAwcOVK1ateTv769q1aq5bO/AgQNF5hWWTz75xKnd2bNnq0mTJvL19ZWfn5/8/PxK9Tm91MmTJ9W3b195eHgUu+4hQ4ZIks6fP68hQ4YoODhYlStXVs+ePZWVlVXsuqKjo6/YliRt2LBBHTp0UEBAgKxWq+666y6dO3fOMb/wOAgODnZsp6+vr+rUqaMXXnhBl96/Yvz48YqNjVVAQICqVaum+Ph4bdy4scj7ULNmTXl5ecnb21ve3t6qXbt2kbZKOqYuj79SpUry8fFxvAdt2rTR5s2bner+97//1X333afAwEAFBATo1ltvVUZGhuN8ERERIYvFoipVqjjtW8MwNHbsWEVERMjf31/x8fFOsVz6+fL19VVAQICqVKlS7OfZMAw99dRTjvf58rYu3eeBgYHy8vKSj49PkbY2b96sxo0by9vb29HWRx99VGT/FHcuCQgIcLT37bffqk+fPqpRo4a8vLwc76+r8+KECRPUpk0b+fr6ytvb2+U59t5775Wfn58sFos8PT1Vr169Mp1jC89P3t7ejs9McZ+tS61YsUKBgYGO7b38PZCkvXv3qkqVKvL19b3i8VipUiV5e3urUqVKRdpavny5br/9dlWpUkWhoaGqXbt2kbbWrFnj8nxS2N6aNWvUvXt3RUREyMvLq0idxMREp9juu+8+RUdHOz7vxcVmGIYmTpyomjVrysPDQx4eHvLx8XF85gsVnk+sVqu8vLwcf08ubavwPSj8bBR+xi9vS/rtePTz83P8PSnuPXC1P1577TVJV39MLV++vMS2JGnbtm265557VLVqVVmtVsXExDiO90uPg6ioKPn5+alatWqqWrWq/P391aBBA02bNs0p/uKOq+K2880333T6exMdHe3yu4Gvr6/8/f1VuXLlYt+D+Ph4eXl5ydPTU97e3kpISChy7rjWv9O48d2QicZHH32k5ORkjRs3Ttu2bVNcXJwSEhJ07NixKy7366+/qm3btvL29taXX36pH374Qa+//rqqVatWpO6CBQv0zTffKDIyUpKUk5OjuLg4TZkypUjds2fPatu2bRozZoy2bdumzz//XLt27dJ9993nVK9r1666cOGCVq1apbfeeku1a9fW6dOni7RnGIZ69Oihffv2adGiRdq+fbtiYmIUHx+vnJwcSdKRI0d05MgRTZw4Ua1bt9bw4cMVERGhuLg45efnq1OnTo66hQYNGqSjR486yquvvuo0f9KkSfr3v/+toUOHasWKFVq4cKHuvPNOde/eXd9//73TOnfu3KnZs2dr2bJlGjhwoKONgoICdenSRXl5eXrttdc0duxYBQQEqE+fPurQoYOjLeliUrNr1y4tXrxYO3bs0P3336/evXtr+/btRfbJ3//+d8d7IV38UvTee++pSZMmRepK0uTJk2WxWIpMP3PmjBITExUYGKibb75Za9asUZcuXRQSEqLVq1c7vaeJiYn6xz/+UWz7P/74o+x2u9577z19//33SkxMlKenp5544gnH/l23bp0kKSoqymm/Hz16VM8995wqV66szp07O+3/Z599VkOHDlVoaKgSEhL04osvlupzeqm+ffvq+++/1xdffKGFCxeqZs2a6tGjh9LS0iRJvXr1kiSNGDFCS5Ys0SeffKK1a9fqyJEjuv/++4vd7oYNG6pDhw6OfXB5Wxs2bFBiYqI6deqkTZs2afPmzY4vwYUKj4PCL10dO3aUh4eHUlJS9Oqrr+rtt9921L3lllv0zjvvaMeOHVq3bp1q1qypTp066fjx407vQ/v27WW1WpWSkqLAwEA1atTIqa2rOaYuj/+uu+5STEyMnnnmGW3dulWdOnVSfHy8Dh8+LEn66aefdMcddyg2NlZr1qzRd999pzFjxsjPz89xvoiLi5MkjRw50mnfvvrqq3rrrbc0bdo0bdy4UQEBAUpISND58+eLfL6mTp2qLl26yNPTs9j3JDU1VdOmTVOzZs1UuXLlIm1dus9TU1M1ePBgdezYUdLFc6L023FRrVo1Pfnkkxo3bpwk6S9/+Yvy8/OLrLPwXDJv3jw9/fTTmj59umPe1q1bFRYWpvfee0+33367Bg0aJIvFoj59+hR7XszLy1OvXr0c21jcOfbVV1/VypUrNXjwYP3nP//RnDlzZBhGqc+xl56fnn/+eT3//POqUqWK/vznPxf5bF3q7bffVmhoaLH7X7qYCPXp00c333yzLly4cMXjccKECXrooYeKPCl5//796t69uzp06KD09HSNGjVKx44dk7e3t1O9Nm3aOJ1L5s2bp6ZNmyosLMxRZ/369WrSpIk+++wzde/eXbGxsbJYLJo7d66OHj2qDz74wKnN9u3b6+OPP9b06dP14IMPKioqqkj8Tz/9tN59912dPHlSgwYN0j//+U+9//77js98ocLzSUpKipKSkhQdHe3UTuF7cOrUKfn5+albt26qVKmS+vXrV6StS4/HyZMna9CgQRo6dGix78HAgQMd56a0tDTNnDlTFotFPXv2lHR1x1ThezB06FBt2LDBkfgV/sBS2NaRI0cUHx+vunXrauPGjXrhhRdkt9tVs2ZNR1uFx8G8efPUo0cP+fj46Ny5c3rmmWc0fPhwPfXUU1q8eLHT+gcNGuQ4pmbMmFFkG19//XWNHDlS1atX1+eff65FixapQYMGLr8bTJ06VT179ixy16KCggLde++92rJli5o0aaJJkyapcuXKOnbsWJFz4rX8ncYfhHEDuu2224whQ4Y4XhcUFBiRkZFGamrqFZcbNWqUcccdd5TY/s8//2zcdNNNxs6dO42YmBjjjTfecJovyViwYMEV29i0aZMhyTh48KBhGIZx/PhxQ5Lx1VdfOerYbDZD/7vZwaXt7dq1y5Bk7Ny502kbQ0NDjffff9/lOj/++GPDx8fHOHLkiCHJWLt2rWPe3XffbTz99NMulz158qTh7+9vrFixosi8atWqGf/3f/93xXXm5+cbhmEYX3zxheHh4WFkZmY66kydOtWwWq1Gbm6uU1sBAQHG3LlzndoLCgoqso1ffPGFERsba3z//feGJOP//b//Z9x8881GWlpasdu1fft246abbjKOHj1aZN9u3rzZkGQMHz7ciIuLMwzDML777jtDkrFnz54i27d69WpDkvHrr78Wu/2Fxo0bZ0RERBi1atW6Yr1CTZs2NQYMGOB4fen+N+Nz+sMPPxiSjM2bNzumffnll4bFYjEGDhxo1KlTx7Db7capU6cMb29v45NPPnHU++9//2tIMjZs2OC0vnfffde4++67jZUrVzr2ydNPP+1oyzAMo1WrVsbo0aNdxnzpcdClSxdjwIABjuMgLS3NuP/++42+ffu6XD47O9uQVORzWtiWYRjGq6++atSqVcupras9pgrjP3v2rOHp6WksXbrUaT3Nmzc3nn32WcMwDOOBBx4wHn74YZexFu7bSz+Dhfs2ODjYeO2115zq+vr6Gh988IHL9l599dUin2e73W4EBAQYzZs3N2bNmmUEBgYWaetK557x48cbhvHbcZGRkWEYhmHs37/fcW66/LhwdS650nnxL3/5i9G+ffsi58VLFcZ/eVuuzk1lOcde6fxUuPzl67n8/FPcdv7973837r//fqNatWpG5cqVr/p4lGTMmDHDMAzD+OSTTwwvLy+joKDAcWy/8847hiRj4sSJxe5XwzCMvLw8IzQ01Hj++eeLjS0pKcno3r27ce+99xr9+/d32c6lFi1aZEhynBd++OEHw8vLy7j33nuv6jNf3Pnk5ZdfNgzjt78R3bt3d7R16d+IS7k6n1y+nZe/R9u3bze6d+9udOjQ4Yrbefkxdel7UGjx4sWGJKN9+/aOae+9954RFhbmVK/w70hx70HDhg2N559/3nEcGIbzucQwij+uLj8OfH19y/zdQJLx6aefOvaXxWJxamvq1KlGlSpVirRV1r/T27dvdxmPOyn8m/K4ZhrD9KHblMc105BkZGdnV/QuKtEN16ORl5enrVu3Kj4+3jHNw8ND8fHx2rBhwxWXXbx4sVq2bKlevXopLCxMzZo10/vvv+9Ux26365FHHtHIkSPVsGHDMseZnZ0ti8WiqlWrSpKCg4NVr149zZ07Vzk5Obpw4YLee+89p1+hCuXm5kqS0y87Hh4e8vX1dfxK7mqdVqvV8WtEUFCQ0/x//etfCgkJUaNGjZSSkqKzZ8865qWlpclut+vw4cOqX7++atSooV69emnKlCnKyclR69atr7hOL6+LlwNt2LBBjRs3VvXq1R11EhISZLPZNGnSJKe22rRpo48++kgnT56U3W7Xhx9+qPPnz6tdu3aOZbOyshy/nlWqdPEe16mpqerSpYvTZ6DQ2bNn9dBDD2nKlCkKDw8vMr9evXoKDg7W9u3btWfPHkVEROiOO+6Q1Wp1+tW9LE6cOKGff/5ZtWvXVt++fYsMASi0detWpaenO/UEXbr/33jjDW3fvl1RUVEKCQkp0+d0w4YNqlq1qlq2bOmYFh8fL4vFoo8//lgDBgyQxWLR1q1blZ+f77QvY2NjFR0d7XQ8/fDDD3r++ec1d+5cx37Ky8vTvHnzHG0dO3ZMGzduVFhYmNq0aaPq1avr7rvvdvrMXnoctGzZUitXrtSLL76osLAwx+f70l6eS+Xl5Wn69OkKDAx09BQUatOmjVauXKndu3crOztbfn5+Tm1dzTF1afzt2rVTQUGBUlJSnOL39/fXunXrZLfb9e9//1u33HKLEhISFBYWplatWjkNTSjct5eKjY1VZGSkfvnlF6d9HhgYqFatWl3xHHb5EEXp4jGdk5OjN99802Vbrs49klSnTh1Jvx0XM2bMUF5enqM3pFatWk6/0l66XlfnElexBwUFFTkvXo3izk29e/fWnj17Sn2OvdL5acKECUU+W8Wdfy63atUqffzxxzp+/LijZ/Nyro5H6eJwL0lq0aKFPDw8NGPGDD388MN66qmntHbtWvn5+bnszZIu/l375Zdf1L9/f5d11qxZo7S0NC1cuFBPPvmkfvnlF5d1T548qX/961+S5DivL1myRLVq1dLKlSu1dOlS+fv7y9/fXy1atCj2M3/5+USSYzjvhg0b1KhRI61cudJx/IwePVo2m03vvPOOY7mrOZ9Ixb9Hv/zyi/797387nWOLc/kxVfgezJo1SwUFBcrOztb7778vi8Wixx57zFEvNzdXPj4+Tn8z/P39Xa6nTZs2Wrx4sY4ePapq1app9erV2r17tzp16uRU7/Lj6lKFx4F0cahb4XFw+PDhq/puIMnxOdqwYYNuvvlmSb+dExMSEnT69Gl5eHg4tVXWv9P447jhEo0TJ06ooKDA6Q+FJFWvXl2ZmZlXXHbfvn2aOnWqbr75Zi1fvlxPPvmkhg0bpjlz5jjqvPLKK/Ly8tKwYcPKHOP58+c1atQo9enTx9FlabFYtGLFCm3fvl1VqlSRn5+fJk2apGXLlhVZvvCLXkpKin799Vfl5eXplVde0c8//6yjR48Wu84TJ07ohRde0KBBgzR8+HC1bdtWjRo1csx/6KGHNG/ePK1evVopKSn65z//qYcffthp39jtdr300kt6+umndfLkSX322WcaNmyYPv74YzVo0MDlOgcPHuyYlpmZ6fTe7NixQ40bN5Ykvfjii1qwYIGjrY8//lj5+fmOsfqPP/64FixYoLp160q6ONzl0Ucf1RNPPOH0B/rHH39UampqsfthxIgRatOmjbp3717s/CpVqmjNmjXatWuXzp07p6ysLFmtVtWtW1ft27cvdijb1YiKipKXl5dSUlI0depU7d+/X3feeWex7c2YMUP169dXmzZtHNMu3f+GYSg/P1+enp6qXLmyBg0aVOrPaWZmZpEk1svLSwEBAcrJydGjjz7qqOfj41Pki9+lx1Nubq769Omj1157zWkYxL///W+dOnXK0da+ffskXbyuYtCgQVq2bJmaN2+ujh07Osb9XnocPPfcc8rIyNCrr76qkydP6u6779bw4cPVt29fp1iWLl2qypUry8/PT2+88YbS0tIUEhLiVOeZZ57Rgw8+qNjYWE2YMEE//vijU1tXc0xdGv8TTzyhJk2a6OTJk+rQoYN+/PFHzZs3Txs2bNDRo0d17NgxnTlzRi+//LISExP1n//8R3/60590//33a+3atU779nKF54TSnMP27t3rNKRMuvhl6q9//auk3xKG4tpyde6RpMqVK0v67biYN2+eYwy5JL3zzjuOL5uFSjqXXG79+vX66KOP9OijjxY5L16NS4+NyZMn69NPP9Xx48c1YMAAPfDAA6U6x15+flq6dKnj/PTPf/7T6bPl6vxzqV9++UWPPvqo7rnnHvn5+emee+4ptp6r41H6bfharVq19J///EcjRozQmjVrlJKSop9//vmKQ7aki+eThIQE1ahRo9j5iYmJGjx4sAzD0Pjx47V27Vp17txZBQUFTvVGjRqlgIAABQcHF/mRZN++fTp48KByc3N1/vx5DRgwQNHR0Tp16lSxn/niEsnC69wyMzNVrVo1p+NnyZIlkqS//e1vjraudD4p5Oo9WrJkiapUqeJyCKhU/DFV+B784x//kK+vr6pWrapvv/1WgYGBTm116NBBmZmZeu2115SXl6dff/1VzzzzjMt1vf322woJCdGCBQu0aNEiJSYmasqUKbrrrrscdYo7ri5/DwzDkJeXl2666SbNnDlTJ06cUPPmza/qu8GlMjMzFR0d7XROLByam5WV5dRWWf9O44/jhks0roXdblfz5s310ksvqVmzZho8eLAGDRrkuChr69atevPNNzV79uxix/dfjfz8fPXu3VuGYWjq1KmO6YZhaMiQIQoLC9PXX3+tTZs2qUePHurWrVuRNry9vfX5559r9+7dCgoKUqVKlbR69Wp17ty52F/dbTabunTpogYNGuiXX37Rzp079eGHHzrVGTx4sBISEtS4cWP17dtXc+fO1YIFC/TTTz859k1+fr7eeustDRgwQN99953+85//yG63KykpST/88IPLdY4fP97l/qhXr57jl9V7773Xqa0xY8bo1KlTWrFihbZs2aLk5GT17t1bO3bskHTx5Hz69GnHLzuFF35OmDDB6ZfpQosXL9aqVauKXIR5qXPnzmngwIHq1KmTNm7cqPXr16tVq1Y6e/asTp06pY8//tjlsq4cPnxYqampeuihh/Tcc88pISFBX3zxRbHtnTt3TvPnzy/yS9ul+1+6+Mva5s2bdejQIdWpU8e0z+n58+fVoEGDUo2jTUlJUf369Yt8mZw3b546d+7saKvw17bHH39c/fv3V7NmzfTGG2+oXr16mjlzpiTn42D8+PEKCwtTfHy8goKC9Oabb2rixIlOCZV0cfx4enq61q9fr8TERPXu3bvI9Vgff/yx5s6dq9DQUP3pT3/SnDlznNq6mmPq8vg///xz1alTR/n5+WrQoIHeeust9enTRx4eHo663bt314gRI9S0aVM988wz6tq1a5GLPK/V4cOHlZiY6LgOptCgQYNcfrG9lKtzj3Tx12vpt+Oibdu2+uabbxwXew4dOtTpQn7J9bmkODt37lT37t01evRoTZ8+vch58WpcemwkJCSoRYsW8vX1VW5urtM+Kc05tlD79u0d56cWLVo4fbYuP/8UZ9CgQerQoYMWL158TX83pN8uujUMQ8uXL9fatWvl4+Oj48ePO93U4FI///yzli9ffsVf7qtXr64pU6ZoxowZGjZsmJYuXarNmzdrzZo1TvVGjhyp7du36z//+Y/jl+/C9drtduXl5UmS/vSnP2nKlCn64IMPtG/fPrVr167Un/nCdguPn8JepNtuu83R1pXOJ4VcvUeLFi1S3759i/07Ibk+pjIzMzVo0CAlJSVp8+bNWrt2rY4fP67KlSvL19fXUa9hw4aaM2eOXn/9dVWqVEnh4eGqVatWkR8PCj377LNKS0tT3759tW3bNr3++usaMmSIVqxY4ahT3HFVGFPh/rhw4YImT54sm82mhIQEffXVVzpx4oRuvfXWEr8bXM7Dw8PpnFiYYLds2dKprdL+nb5eGfrtzlPuUHhgXwUKCQmRp6dnkbviZGVlFTtU5lIRERFFDrj69es7fr35+uuvdezYMUVHR8vLy0teXl46ePCg/vrXvxY7fOByhUnGwYMHlZaW5vSr3apVq7R06VJ9+OGHatu2rZo3b653333XZXdrixYtlJ6erlOnTuno0aNatmyZfvnlF9WuXdup3unTp5WYmKgqVaooJiZGX3zxhVavXu3y161CrVq1knTxV53CfSNJDRo0kI+Pj+rWrav4+HiFhYUpIiLCaWjGpetcsGCB08WK4eHhTu+Nj4+P41fTlJQUxcXF6c0339RPP/2kd955RzNnzlTHjh0VFxencePGqWXLlo6LQVetWqUNGzbI19dXXl5euvPOOyVJDzzwgDw8POTl5aW1a9fqrbfekpeXl9LS0vTTTz+patWqjvdPknr27Ono5p0/f74OHDigWbNm6dZbb9Xtt9+u+fPnKyMjQyEhIY79cbWOHDmi9u3bq02bNk4XxFatWlW33HJLkfY+/fRTnT17Vv369XOafun+L/ychoaGKiQkRBkZGaX+nIaHhxf5Mv7TTz8pPz9fXbt2dXq/8vLyitxV69LjadWqVfrkk08c6yr8RXHVqlUKCAgodhsudWnslx4H//d//6cxY8Y4jpWcnByNGDGiSG9VQECA6tatq9tvv10zZsyQl5dXkQslk5OTdeHCBSUkJOjTTz/VI488UqStko6py+OvU6eO1q5dq/vvv189evTQpk2blJ+fr9q1ayskJEReXl5X3NbCfXs5m83m2Meu9nkhV5+vwn1ZeFFvjRo1NHDgQGVnZ8vLy0vffvut0/tX3LlHkuMGCJcfF82aNXOsf9GiRUW24VKF55LL/fDDD+rYsaMGDhyo9PT0Ys+LV+PS96XwHHv06FGFhIQ4DQG6mnPs5eengIAAx/np5ZdfdvpsXX7+KfwFV5LjfLhq1SrNnTtXWVlZuummm9S/f39lZ2fr4MGDSk5OvuLxeOHCBUly/JJceN47d+6c7r33XnXo0EHr1q3T+fPn9be//a3Yv0GzZs1ScHBwkYviC61du1bdunXTG2+84TjnFH5+Lz83hYSE6JZbbtE999zj+KGqcLhTRESEPD09nT7z9evXlySFhoYW+cxffj6R5OjlCA8P16+//urUVuF7Ehsb62jrSueTQq7eowMHDujAgQPF7pMrHVNTpkxRYGCgXn31VTVr1kwWi0Xnzp3Tzz//XOSOZA899JAyMzN1+PBh/fLLLxo/fnyxNxIoTCx69uypefPmqUmTJnrqqaf0wAMPaOLEicXGKP12XBX2LhTuj+7duzudx8LCwnT8+PErfje4/IeAwuPg0nPiN998I+nij1GFbZXl73The9CyZUslJSW53D7cOG64RMPHx+f/t3f/wVHU9x/HX5cjd0kMSXMhEAK5xBAksQooFBrSMs0I8UcrVKrFtEKm0I5VCpbUTKdaiVTBUBFpi+1UpZnSjsBIGadgB4IIY51asGZS0liRYiw1NVTktyBxcp/vH2HXuxybC+l+ywrPR+ackSR7n9vdz2fz3s973x+NGzdO27dvt/8tEolo+/btjs8RWMrLy+PKvr755psqKCiQJM2aNUt79uxRc3Oz/crLy1Ntba22bt3a67atC+C+ffv0wgsvKDs7O+b7Vg5zz7sOiZ4LyMzMVE5Ojvbt26e//OUvMSlBx48fV2VlpZKTk1VcXKxNmzbpxRdf1OWXX97rNiXZpeeswau8vFySYvbP4cOHdejQIfvuYfR7BgIB/f73v4+7Y1RWVqaWlpaYi6r1x8WVV16pSCSiM2fOOO4Pv99v38n66U9/qr/+9a/2sbDusq5YsUKNjY1qbm7W+PHj9fWvf13Nzc26//77446fJD3++ONqaGiQ1H0crNKdFqsNBw8etPdHX7S3t+sLX/iCxo0bp4aGhpjPcvLkSe3fvz9ue6tXr9a0adPi0iGi9791nlr7v6Cg4LzP07KyMh09elSvvfaa/R7WzNNdd91l/9u4ceOUnJwc05/27t2rAwcO2P3pd7/7XcxxePrppyV158RbKTiSVFhYqLy8vF77WPRxt46F9f+RSCTm+DuxziFLe3u7Dh48qHA4HHMcnLbl1Kec2v/WW2+ppKRER44c0datWzV9+nS7rGdvn9Xat9H27t2rf//738rOzo7Z58ePH9euXbtixrDezi+pO8+6ublZgwYNUk1NjV1B6eWXX9Y///lPe1tOfU36+M7yufpF9P7uzbnKWLa2tqqiokJ33HGH9u7d6zgu9oXVN1pbW+0x9tlnn9Xhw4ftfW19Bqn3Mbav45MUP/784Q9/sH/HSsl75ZVX9NJLL2njxo3auHGj5s+fr7S0NA0ePFgLFizotT+++OKLkrorq1ntHzRoUEzftqq6fe1rX4u7Bhlj1NDQoNmzZ8edZ5LsinrLli2LSW9955139P777/c61lnH3AqGysvL1dXVpauvvto+561nS6KPg9N4IsmeiSgrK1Nra6vGjh1rf886BkeOHLG31dt4YnE6RkVFReecOUvUp6LHJKl7vLYqGzr1gyFDhig9PV3r16+Pux62trbq+uuvlyQ7xdSSaKyz+pUViPa8RmdmZsrv9+u9997TgQMHzvm3QV+v05mZmWpqatJll12m119/3d5Wf67T1jFYv369lixZ4vj5cPG4KBfsq6mpUXV1tcaPH68JEyZo5cqV+uCDD3p9GE76OH9/6dKl+upXv6rdu3frySeftO9qZGdnx10Ik5OTlZubq2HDhsVcUNva2tTc3KxQKKShQ4fq1ltvVVNTkzZv3qyuri57ujMUCikQCKisrExZWVmqrq7WokWLFIlEtHLlSjsPNXp74XBYzz77rHJychQOh9XS0qJ77rlHX/7yl+2Hx6yB5NSpUyoqKtLatWvV0NCg06dPq729XX6/X5mZmUpNTdX+/fv1zDPP6KabblJ2drb27NmjhQsXavLkyfYgesUVV2j69Om6/fbbtXjxYo0YMUJLly5VVlaW9uzZo0cffTTmPX/729/q+PHj9t3ZnJwc+f1+VVZW6sorr9SsWbM0fPhwlZaW6pFHHtFtt92mBx98UDt37tTWrVtVUlKi4uJi3XnnnVq+fLmys7P13HPPadu2bdq8ebMkxZVFtO48VlRUaOzYsZJk5xRbz6Oca1YrHA7bwdfUqVNVW1ura665RjU1NcrNzdWKFSvU2dmpjIwMVVVVSeqeru7o6LDv+rW0tGjgwIEKh8MKhUL2BaugoEDLly/Xd77zHU2dOlX5+fn66KOPVFdXJ7/fb29P6p49eumll2L+YLFY+/+ee+7RwoUL9e1vf1uTJk1SUVGROjo6+nyeWhfz0tJS3XDDDXbK1ZkzZ7Ru3TqVlpbG7NfMzEzNnTtXNTU1CoVCysjI0Pz581VWVqbPfvazkuLz/62L0x133BGTguXz+VRbW6u6ujqNGTNGY8eO1a9//Wu98cYb2rBhgyTF9IPy8nItXrxY27Zt01tvvaXU1FQtXbpUc+bMkdRdUnrJkiWaNm2ahg4dqkOHDumJJ55Qe3u7nfJgHYchQ4aovb1da9eu1ahRo9TS0qIVK1bY25KUsE/1bP+JEye0bds2vf766/rud7+riooKlZSU2ONMbW2tZs6cqcmTJ6uiokJbtmzRpk2btHPnTp08edIulblhwwY1Njbq1KlTeuyxx1RWVqbp06fr4Ycf1siRI3X55ZfrgQceUF5enp3SFH1+LV68OKb0cs+x4t5771V9fb1mz54tY4zq6+tjthW9z++991795z//0caNGyV195fm5mZ9+tOf1pEjRzR37lx96Utfsu8w+3w+5eTkqKOjQ7m5uXFjya5du/S9731P1157rZqamtTW1qYNGzbozjvv1A033KDW1la1tLTYd/2t5wKscVHqrud/+PBh7du3T52dnfbaHW+88Yb9OW+++WbddtttSk1N1c9//nPNmzdPxcXFKi0tVWdnZ5/H2MmTJ6u4uFhVVVUqLCzU1VdfrYceekgzZszQXXfdFXNuRfeTkydPxjy3cOLECbtt0XfYjx07pjVr1ig1NVWFhYXn7I8rVqzQ22+/bZcQPnbsmH3T5PHHH9fGjRtVVVWlEydOaNmyZfL7/Ro9enRMypDUHai0tbWpqqoq7tr01FNPacGCBZo3b55aW1v1/PPPa/DgwXrnnXf08MMPq7i42P4DeNeuXXr11Vf1uc99ToFAQC+//LI94xUMBtXc3KwrrrhC1157rT788EOtW7dOBQUF2rx5s0aNGqUdO3bYaVjR40lqaqqOHj2qZcuWSeq+Sdjc3KySkhJ7dmrdunXKzs7Wb37zG02cOFHPP/+8va2e/XHkyJFatWqVnXrb1tamwsJCux9IHwfOt99+e9ysfl/6lHUMfvSjH+nmm2/W+vXrVVRUpIKCAnuWz7Jq1SpNmjRJ6enp2rx5s+677z4tWLBAjz76aEw/uOmmm7R//34tXLhQp0+fVjgc1t/+9jetWbPGvlET3a9SUlK0bds2e7bDGGOfa9OnT7efdRoxYoQWLVqkAQMG6Itf/OI5/zb45S9/qT/96U92m/fv3x9zDKZOnar58+drwIABqq2t1YABA2LGxP/mOj1ixIiEmRVewoJ9/4X/ZYmr/6Wf/exnJhwOm0AgYCZMmGD+/Oc/9+n3Nm3aZK666ioTDAZNSUmJefLJJ3v9eatMoVXmtOeruro6phRkz9eOHTvsbb366qumsrLShEIhk5qa6rg9Y4z5yU9+YoYPH26Sk5NNOBw2P/zhD2NK/zm1J/rV0NBgjDHmwIEDZvLkySYUCplgMGiKi4tNbW1tXNm0Y8eOmZEjR9pl7wKBgCkvLzeNjY0J37Otrc3ezttvv21uvPFG4/f7TVJSkvH7/SYnJ8dcd9119raMMebNN980M2bMMIMHDzZpaWlm9OjRcWX0oln7ObpsXqKyvTpHqcHGxkYzaNAg+3MGg0EzZcoU849//MP+mbq6ul73aUNDg+O+GDZsmJk5c2bM9owx5gc/+IHJz8+PKYnYc//PmTPHfOpTnzLp6ekmIyPjvM/TaO+//76pqqoy6enpJi0tzUgyTU1Ncb97+vRpc/fdd5usrCyTlpZmbrnlFvPuu+86vpdVEjK6VGe0Rx55xAwfPtykpaWZsrIy88c//jHm+1Y/yMrKMsnJySYQCJhAIGCKiorM/fffb5/np0+fNrfccovJy8szgUDADB061EybNs3s3r3b3lZvxyF6W8Yk7lM92x8IBEwwGDTJyckmNzfXzJs3zxw9ejTmZ1evXm2Ki4tNSkqKGTNmjHnuueeMMc59JRwOm3fffddEIhHzwAMPmCFDhphgMGiuu+46s3fv3j59rp5jhbWtjIwMIyluW9H7fODAgY7bamxsNMXFxef8fl1dnTEmfizJy8tL2M5E42J1dXXCzxldOvS/HWO/8pWvmMrKSpOUlGSPT+c6t6L1Nv5Hs0r09tYfU1JSHLe1du1ac80115jLLrvM5OTkmGnTppm8vLy4bRljTFVVlZk0aVKfrgXWKxgMmm9961sx5X337NljKioqTCgUsssxn6tt7e3tZsaMGSYYDBq/32/8fr+56qqr7HPeYo0n6enpjtuyrhHJyckmKSnJDBgwwIwePTpuW8Z83B+t0q69HYMlS5YYKbbEcfSx6Uufso5BIBAwksyNN95o/v73v8dtb9asWSYUCtljV1+Pgc/nM6NGjTKPPfaYXRY8ul/1dgyOHTtmJk6caF+7UlNTzYIFC877bwPrGJSWltrbGjhwoLnvvvvixkQ3rtNeZpW3/aZ+Ze7WOs+8vvkJKm/rM8bhKTIAAADgEnX8+HFlZmbqm/qVAvJOad5OndLTmmMvIeBlF90zGgAAAIBb+jU1+//86o8nnnhChYWFSklJ0cSJE7V7927Hn33qqaf0+c9/XllZWcrKytKUKVN6/XknBBoAAADARWz9+vWqqalRXV2dmpqaNGbMGF1//fVxFe8sO3fuVFVVlXbs2KFXXnlF+fn5qqysVHt7+3m9L6lTAAAAQA9W6tRcD6ZOrT7P1KmJEyfqM5/5jFatWiWpu1Jafn6+5s+f3+uCkpauri5lZWVp1apVcSX4e3NRVp0CAAAA3ODVqlNWZU9LMBiMWTzS0tnZqddeey1m4cSkpCRNmTLFXpQ0kVOnTumjjz5SKBQ6r7aSOgUAAAB8wuTn5yszM9N+9VzQ1nLo0CF1dXXFrU4/ZMgQe7mFRL7//e8rLy9PU6ZMOa82MqMBAAAAfML861//ikmdOtdshhvq6+u1bt067dy5M26Bx0QINAAAAAAH5uyXV1htycjI6NMzGoMGDZLf77cXW7UcPHjwnAsZR1u+fLnq6+v1wgsv2Is4nw9SpwAAAICLVCAQ0Lhx47R9+3b73yKRiLZv366ysjLH3/vxj3+shx56SFu2bNH48eP79d7MaAAAAAAXsZqaGlVXV2v8+PGaMGGCVq5cqQ8++EDf+MY3JEmzZ8/WsGHD7Oc8li1bpkWLFumZZ55RYWGh/SxHenq60tPT+/y+BBoAAACAA69WnTofM2fO1HvvvadFixapo6NDY8eO1ZYtW+wHxA8cOKCkpI8TnX7xi1+os7NTt956a8x26urq9OCDD/b5fVlHAwAAAOjBWkdjtlZ7bh2NNZp7XutoXCg8owEAAADAdaROAQAAAA7M2ZdXeKktiTCjAQAAAMB1BBoAAAAAXEfqFAAAAODgYqg6daEwowEAAADAdQQaAAAAAFxH6hQAAADgwMjI+LxT6+mTtAQeMxoAAAAAXEegAQAAAMB1pE4BAAAADqg61X/MaAAAAABwHYEGAAAAANeROgUAAAA4IHWq/5jRAAAAAOA6Ag0AAAAAriN1CgAAAHBkZOSlRfK81JbeMaMBAAAAwHUEGgAAAABcR+oUAAAA4ICqU/3HjAYAAAAA1xFoAAAAAHAdqVMAAACAA+OxqlNeaksizGgAAAAAcB2BBgAAAADXkToFAAAAOKDqVP8xowEAAADAdQQaAAAAAFxH6hQAAADgwPi6X15h7P94HzMaAAAAAFxHoAEAAADAdaROAQAAAA66q055J1eJqlMAAAAALmkEGgAAAABcR+oUAAAA4IAF+/qPGQ0AAAAAriPQAAAAAOA6UqcAAAAAB+bsl1d4qS2JMKMBAAAAwHUEGgAAAABcR+oUAAAA4ICqU/3HjAYAAAAA1xFoAAAAAHAdqVMAAACAg4iMIh6q9OSltiTCjAYAAAAA1xFoAAAAAHAdqVMAAACAA+PrfnmFsf/jfcxoAAAAAHAdgQYAAAAA15E6BQAAADig6lT/MaMBAAAAwHUEGgAAAABcR+oUAAAA4MjIeCpdyUtt6R0zGgAAAABcR6ABAAAAwHWkTgEAAAAOImdfXuGltiTCjAYAAAAA1xFoAAAAAHAdqVMAAACAAxbs6z9mNAAAAAC4jkADAAAAgOtInQIAAAAcGHlriTwvtSURZjQAAAAAuI5AAwAAAIDrSJ0CAAAAHER8RhGfdxKWqDoFAAAA4JJGoAEAAADAdaROAQAAAA5YsK//mNEAAAAA4DoCDQAAAACuI3UKAAAAcMCCff3HjAYAAAAA1xFoAAAAAHAdqVMAAACAA6pO9R8zGgAAAABcR6ABAAAAwHWkTgEAAAAOSJ3qP2Y0AAAAALiOQAMAAACA60idAgAAABxEzr68wkttSYQZDQAAAACuI9AAAAAA4DpSpwAAAAAH5uyXV3ipLYkwowEAAADAdQQaAAAAAFxH6hQAAADgwHhswT5SpwAAAABc0gg0AAAAALiO1CkAAADAQcRn5PN5J13JS2lciTCjAQAAAMB1BBoAAAAAXEfqFAAAAOAgIsl3oRsRJXKhG3AemNEAAAAA4DoCDQAAAACuI3UKAAAAcBCRkc9DlZ6oOgUAAADgkkagAQAAAMB1pE4BAAAADszZL6/wUlsSYUYDAAAAgOsINAAAAAC4jtQpAAAAwAFVp/qPGQ0AAAAAriPQAAAAAOA6UqcAAAAAB6RO9R8zGgAAAABcR6ABAAAAwHWkTgEAAAAOSJ3qP2Y0AAAAALiOQAMAAACA60idAgAAABxEJI+lTn1yMKMBAAAAwHUEGgAAAABcR+oUAAAA4MD4pIjvQrfiY95J4kqMGQ0AAAAAriPQAAAAAOA6UqcAAAAAB90L5HknYYkF+wAAAABc0gg0AAAAALiO1CkAAADAAalT/ceMBgAAAADXEWgAAAAAcB2pUwAAAICDLhkZD6UrkToFAAAA4JJGoAEAAADAdaROAQAAAA6oOtV/zGgAAAAAcB2BBgAAAADXkToFAAAAOCB1qv+Y0QAAAADgOgINAAAAAK4jdQoAAABw0OWLyPgiF7oZtoi805ZEmNEAAAAA4DoCDQAAAACuI3UKAAAAcNAlI+OhSk9UnQIAAABwSSPQAAAAAOA6UqcAAAAABxGPpU55qS2JMKMBAAAAwHUEGgAAAABcR+oUAAAA4KDLZ+TzeSddidQpAAAAAJc0ZjQAAAAAB0Zn5KVJBKMzF7oJfUagAQAAAPQQCASUm5urjo76C92UOLm5uQoEAhe6GQn5jDEeitEAAAAAb/jwww/V2dl5oZsRJxAIKCUl5UI3IyECDQAAAACu42FwAAAAAK4j0AAAAADgOgINAAAAAK4j0AAAAADgOgINAAAAAK4j0AAAAADgOgINAAAAAK77P3zjf6k342+YAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 1000x1000 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_cumulative_distribution(ecdf)"
]
},
{
"cell_type": "markdown",
"id": "5f2b9e8d",
"metadata": {},
"source": [
"Proposals:"
]
},
{
"cell_type": "code",
"execution_count": 27,
"id": "65a36ee5",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.036381842456608804"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"1 - ecdf[192, 192]"
]
},
{
"cell_type": "code",
"execution_count": 28,
"id": "095106a5",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.01735647530040052"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"1 - ecdf[256, 256]"
]
},
{
"cell_type": "markdown",
"id": "77ef0499",
"metadata": {},
"source": [
"### `hitcircleoverlay`"
]
},
{
"cell_type": "code",
"execution_count": 29,
"id": "0860ff6c",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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luXPn6sMPP1SlSpWUnZ0tSQoJCVFQUJB27dqluXPnqnv37goPD9e3336rsWPH6oYbblB8fLzVwwEAAAAAwKcsD9rTpk2TJCUlJXkdnz17tm677TaVK1dOy5Yt05QpU5SXl6eYmBj16dNHDz30kNVDAQAAAADA50rk1vFLiYmJ0erVq63uFgAAAACAUqHE99EGAAAAAOBqQtAGAAAAAMBCBG0AAAAAACxE0AYAAAAAwEIEbQAAAAAALETQBgAAAADAQgRtAAAAAAAsRNAGAAAAAMBCBG0AAAAAACxE0AYAAAAAwEIEbQAAAAAALETQBgAAAADAQgRtAAAAAAAsRNAGAAAAAMBCBG0AAAAAACxE0AYAAAAAwEIEbQAAAAAALETQBgAAAADAQgRtAAAAAAAsRNAGAAAAAMBCBG0AAAAAACxE0AYAAAAAwEIEbQAAAAAALETQBgAAAADAQgRtAAAAAAAsRNAGAAAAAMBCBG0AAAAAACxE0AYAAAAAwEIEbQAAAAAALETQBgAAAADAQgRtAAAAAAAsRNAGAAAAAMBCBG0AAAAAACxE0AYAAAAAwEIEbQAAAAAALETQBgAAAADAQgRtAAAAAAAsRNAGAAAAAMBCBG0AAAAAACxE0AYAAAAAwEKWB+309HS1bt1alSpVUmRkpHr37q1t27Z5nXPq1CmNGjVK4eHhCg4OVp8+fZSTk2P1UAAAAAAA8DnLg/bq1as1atQorVu3TkuXLtWZM2fUpUsX5eXlec4ZO3asPvroI82fP1+rV6/WgQMHdPPNN1s9FAAAAAAAfC7Q6gYXL17s9fq1115TZGSkMjIydMMNNyg3N1ezZs3S3Llz1aFDB0nS7Nmz1ahRI61bt05/+ctfrB4SAAAAAAA+U+LPaOfm5kqSwsLCJEkZGRk6c+aMOnXq5DmnYcOGio2N1dq1a0t6OAAAAAAAlCjLZ7R/z+12a8yYMWrbtq2aNGkiScrOzla5cuUUGhrqdW7VqlWVnZ1dYDsul0sul8vz2ul0ltiYAQAAAAAojhIN2qNGjdLWrVv1xRdfFKud9PR0TZgwwaJR4XJV84FPSrT9vZNSSrR9AAAAAFeHErt1/M4779THH3+slStXqnr16p7jUVFROn36tI4ePep1fk5OjqKiogpsKy0tTbm5uZ6SlZVVUsMGAAAAAKBYLA/axhjdeeedWrBggVasWKFatWp51bds2VJly5bV8uXLPce2bdumffv2KTExscA27Xa7HA6HVwEAAAAAoDSy/NbxUaNGae7cufrwww9VqVIlz3PXISEhCgoKUkhIiIYOHapx48YpLCxMDodDd911lxITE1lxHAAAAABw2bM8aE+bNk2SlJSU5HV89uzZuu222yRJzz77rAICAtSnTx+5XC4lJyfrpZdesnooAAAAAAD4nOVB2xjzh+eUL19eU6dO1dSpU63uHgAAAAAAvyrxfbQBAAAAALiaELQBAAAAALAQQRsAAAAAAAsRtAEAAAAAsBBBGwAAAAAACxG0AQAAAACwEEEbAAAAAAALEbQBAAAAALAQQRsAAAAAAAsRtAEAAAAAsBBBGwAAAAAACxG0AQAAAACwEEEbAAAAAAALEbQBAAAAALAQQRsAAAAAAAsRtAEAAAAAsBBBGwAAAAAACxG0AQAAAACwEEEbAAAAAAALEbQBAAAAALAQQRsAAAAAAAsRtAEAAAAAsBBBGwAAAAAACxG0AQAAAACwEEEbAAAAAAALEbQBAAAAALAQQRsAAAAAAAsRtAEAAAAAsBBBGwAAAAAACxG0AQAAAACwEEEbAAAAAAALEbQBAAAAALAQQRsAAAAAAAsRtAEAAAAAsBBBGwAAAAAACxG0AQAAAACwEEEbAAAAAAALEbQBAAAAALAQQRsAAAAAAAsRtAEAAAAAsBBBGwAAAAAAC1ketD///HP17NlT0dHRstls+uCDD7zqb7vtNtlsNq/StWtXq4cBAAAAAIBfWB608/Ly1KxZM02dOvWi53Tt2lUHDx70lLfeesvqYQAAAAAA4BeBVjfYrVs3devW7ZLn2O12RUVFWd01AAAAAAB+55dntFetWqXIyEg1aNBAI0eO1OHDhy95vsvlktPp9CoAAAAAAJRGPg/aXbt21euvv67ly5frySef1OrVq9WtWzedO3fuou9JT09XSEiIp8TExPhwxAAAAAAA/HmW3zr+R2655RbP/2/atKni4+NVp04drVq1Sh07dizwPWlpaRo3bpzntdPpJGwDAAAAAEolv2/vVbt2bVWpUkU7d+686Dl2u10Oh8OrAAAAAABQGvk9aP/88886fPiwqlWr5u+hAAAAAABQbJbfOn78+HGv2ek9e/Zo8+bNCgsLU1hYmCZMmKA+ffooKipKu3bt0n333ae6desqOTnZ6qEAAAAAAOBzlgftjRs3qn379p7XF56tHjx4sKZNm6Zvv/1Wc+bM0dGjRxUdHa0uXbrosccek91ut3ooAAAAAAD4nOVBOykpScaYi9YvWbLE6i4BAAAAACg1/P6MNgAAAAAAVxKCNgAAAAAAFiJoAwAAAABgIYI2AAAAAAAWImgDAAAAAGAhgjYAAAAAABYiaAMAAAAAYCGCNgAAAAAAFiJoAwAAAABgIYI2AAAAAAAWImgDAAAAAGAhgjYAAAAAABYiaAMAAAAAYCGCNgAAAAAAFiJoAwAAAABgIYI2AAAAAAAWImgDAAAAAGAhgjYAAAAAABYiaAMAAAAAYCGCNgAAAAAAFiJoAwAAAABgIYI2AAAAAAAWImgDAAAAAGAhgjYAAAAAABYiaAMAAAAAYCGCNgAAAAAAFiJoAwAAAABgIYI2AAAAAAAWImgDAAAAAGAhgjYAAAAAABYiaAMAAAAAYCGCNgAAAAAAFiJoAwAAAABgIYI2AAAAAAAWImgDAAAAAGAhgjYAAAAAABYiaAMAAAAAYCGCNgAAAAAAFiJoAwAAAABgIYI2AAAAAAAWsjxof/755+rZs6eio6Nls9n0wQcfeNUbY/Tvf/9b1apVU1BQkDp16qQdO3ZYPQwAAAAAAPzC8qCdl5enZs2aaerUqQXW/+c//9Hzzz+v6dOna/369apYsaKSk5N16tQpq4cCAAAAAIDPBVrdYLdu3dStW7cC64wxmjJlih566CH16tVLkvT666+ratWq+uCDD3TLLbdYPRwAAAAAAHzKp89o79mzR9nZ2erUqZPnWEhIiBISErR27dqLvs/lcsnpdHoVAAAAAABKI58G7ezsbElS1apVvY5XrVrVU1eQ9PR0hYSEeEpMTEyJjhMAAAAAgKK6LFYdT0tLU25urqdkZWX5e0gAAAAAABTIp0E7KipKkpSTk+N1PCcnx1NXELvdLofD4VUAAAAAACiNfBq0a9WqpaioKC1fvtxzzOl0av369UpMTPTlUAAAAAAAKBGWrzp+/Phx7dy50/N6z5492rx5s8LCwhQbG6sxY8bo8ccfV7169VSrVi09/PDDio6OVu/eva0eCgAAAAAAPmd50N64caPat2/veT1u3DhJ0uDBg/Xaa6/pvvvuU15enoYPH66jR4+qXbt2Wrx4scqXL2/1UAAAAAAA8DmbMcb4exCF5XQ6FRISotzcXJ7XLiVqPvCJv4dQbHsnpfh7CAAuY3w2AQCACy6LVccBAAAAALhcELQBAAAAALAQQRsAAAAAAAsRtAEAAAAAsBBBGwAAAAAACxG0AQAAAACwEEEbAAAAAAALEbQBAAAAALAQQRsAAAAAAAsRtAEAAAAAsBBBGwAAAAAACxG0AQAAAACwEEEbAAAAAAALEbQBAAAAALAQQRsAAAAAAAsRtAEAAAAAsBBBGwAAAAAACxG0AQAAAACwEEEbAAAAAAALEbQBAAAAALAQQRsAAAAAAAsRtAEAAAAAsBBBGwAAAAAACxG0AQAAAACwEEEbAAAAAAALEbQBAAAAALAQQRsAAAAAAAsRtAEAAAAAsBBBGwAAAAAACxG0AQAAAACwEEEbAAAAAAALEbQBAAAAALAQQRsAAAAAAAsRtAEAAAAAsBBBGwAAAAAACxG0AQAAAACwEEEbAAAAAAALEbQBAAAAALAQQRsAAAAAAAsRtAEAAAAAsJBfgvYjjzwim83mVRo2bOiPoQAAAAAAYKlAf3XcuHFjLVu27P8GEui3oQAAAAAAYBm/pdvAwEBFRUX5q3sAAAAAAEqE357R3rFjh6Kjo1W7dm2lpqZq3759Fz3X5XLJ6XR6FQAAAAAASiO/zGgnJCTotddeU4MGDXTw4EFNmDBB119/vbZu3apKlSrlOz89PV0TJkzww0iBy0/NBz4p8T72Tkop8T4AAACAy5VfZrS7deumvn37Kj4+XsnJyfr000919OhRvfPOOwWen5aWptzcXE/Jysry8YgBAAAAAPhzSsUKZKGhoapfv7527txZYL3dbpfdbvfxqAAAAAAAKLxSsY/28ePHtWvXLlWrVs3fQwEAAAAAoFj8ErTvuecerV69Wnv37tVXX32lm266SWXKlFH//v39MRwAAAAAACzjl1vHf/75Z/Xv31+HDx9WRESE2rVrp3Xr1ikiIsIfwwEAAAAAwDJ+Cdrz5s3zR7cAAAAAAJS4UvGMNgAAAAAAVwqCNgAAAAAAFiJoAwAAAABgIYI2AAAAAAAW8stiaEBpVPOBT0q8j72TUkq8DwAAAAD+xYw2AAAAAAAWImgDAAAAAGAhgjYAAAAAABYiaAMAAAAAYCGCNgAAAAAAFiJoAwAAAABgIYI2AAAAAAAWImgDAAAAAGAhgjYAAAAAABYK9PcAgKtJzQc+8fcQAAAAAJQwZrQBAAAAALAQQRsAAAAAAAsRtAEAAAAAsBBBGwAAAAAACxG0AQAAAACwEEEbAAAAAAALEbQBAAAAALAQQRsAAAAAAAsRtAEAAAAAsFCgvwdQHE3GL1GAvUKJtb93UkqJtQ0AAAAAuDIxow0AAAAAgIUI2gAAAAAAWIigDQAAAACAhQjaAAAAAABYiKANAAAAAICFCNoAAAAAAFiIoA0AAAAAgIUI2gAAAAAAWIigDQAAAACAhQjaAAAAAABYKNDfA7ja1XzgE38PASi0K+Xv7d5JKf4eAnyopP/eul0nSrR9AABw+WBGGwAAAAAACxG0AQAAAACwEEEbAAAAAAALEbQBAAAAALAQQRsAAAAAAAv5NWhPnTpVNWvWVPny5ZWQkKCvv/7an8MBAAAAAKDY/Ba03377bY0bN07jx4/Xpk2b1KxZMyUnJ+vQoUP+GhIAAAAAAMXmt6D9zDPPaNiwYRoyZIji4uI0ffp0VahQQa+++qq/hgQAAAAAQLEF+qPT06dPKyMjQ2lpaZ5jAQEB6tSpk9auXZvvfJfLJZfL5Xmdm5srSXK7TpToOJ1OZ4m2L5X8NQC4OF/8G0fpUdL/vb3QvjGmRPsBAACln1+C9q+//qpz586patWqXserVq2qH3/8Md/56enpmjBhQr7j+6fdVlJDlCSFTCnR5gH4Gf/GURKOHTumkJAQfw8DAAD4kV+CdmGlpaVp3Lhxntdut1tHjhxReHi4bDbbn2rD6XQqJiZGWVlZcjgcJTLOku7jSrgG+rj6+rgSroE+6OPP9GGM0bFjxxQdHV0i4wEAAJcPvwTtKlWqqEyZMsrJyfE6npOTo6ioqHzn2+122e12r2OhoaFF6tvhcJTYL2W+6uNKuAb6uPr6uBKugT7o448wkw0AACQ/LYZWrlw5tWzZUsuXL/ccc7vdWr58uRITE/0xJAAAAAAALOG3W8fHjRunwYMHq1WrVrruuus0ZcoU5eXlaciQIf4aEgAAAAAAxea3oP33v/9dv/zyi/79738rOztb1157rRYvXpxvgTSr2O12jR8/Pt8t6JdTH1fCNdDH1dfHlXAN9EEfAAAAhWEz7EMCAAAAAIBl/PKMNgAAAAAAVyqCNgAAAAAAFiJoAwAAAABgIYI2AAAAAAAW8tuq4yXt119/1auvvqq1a9cqOztbkhQVFaU2bdrotttuU0REhJ9HCAAAAAC4El2Rq45v2LBBycnJqlChgjp16uTZMiwnJ0fLly/XiRMntGTJErVq1crPIy282rVra8mSJapXr16x2/r5559Vvnx5ValSRZK0Zs0aTZ8+Xfv27VONGjU0atQoJSYmFrsfFM+ECRM0atQoz8/JSmfPntXKlSs9P/P27durTJkyxWrz0KFD2rp1q1q2bKmQkBDl5ORozpw5crvdSklJUdOmTS0aPQrr6NGjmj9/vufn3bdvX4WEhBSrzXPnzumnn35SzZo1FRAQIJfLpQ8//FBut1vt27e3bMvG7OxsrV+/3uuL04SEBEVFRVnSPgAAgJWuyKD9l7/8Rc2aNdP06dNls9m86owxGjFihL799lutXbu22H253W4FBOS/A9/tduvnn39WbGxskdp9/vnnCzw+btw43XfffZ5fLkePHl2k9iUpISFBDz/8sHr06KEPP/xQN998s3r06KFGjRpp+/bt+vjjj/X++++rR48eRe7jAl+Fr6+//jrfXQyJiYm67rrrLGm/pH7ekuR0OvMdM8YoIiJCX3zxhRo2bChJcjgcRe7jrrvuUnJysnr06KGff/5ZnTt31o4dO1SlShX9+uuviouL06JFi3TNNdcUqf1Vq1apR48eOnHihKpWrarFixerR48eCgoKUkBAgPbu3auFCxeqS5cuRb6GC86ePavvvvvO62cdFxensmXLFrttfxoyZIieeOIJRUdHF7utm2++Wbfeeqv+9re/6bvvvlNSUpJsNptq166tvXv3ymazacWKFWrUqFGR2v/222/VtWtX5eTkKC4uTp9++qm6d++uPXv2yGazqWzZslqyZIlat25d5GvIy8vTHXfcoXnz5slmsyksLEySdOTIERlj1L9/f82YMUMVKlQoch8AAACWM1eg8uXLmx9++OGi9T/88IMpX758sfrIzc01ffv2NeXLlzeRkZHm4YcfNmfPnvXUZ2dnm4CAgCK3b7PZTPXq1U3NmjW9is1mM9dcc42pWbOmqVWrVrGuoWLFimb37t3GGGMSEhLMpEmTvOpfeOEF07x582L1YYwxK1euNBUrVjQ2m81ERUWZzZs3m+rVq5t69eqZBg0aGLvdbpYsWVKsPnJycky7du2MzWYzNWrUMNddd5257rrrTI0aNYzNZjPt2rUzOTk5RW6/pH/exhgTEBBQYLHZbF7/WxxVq1Y1mZmZxhhj+vXrZzp16mR++eUXY4wxhw8fNj169DB/+9vfitx+u3btzKhRo8yxY8fMU089Za655hozatQoT/0999xj2rRpU6xrOHfunHnwwQdNaGiosdlsXiU0NNQ89NBD5ty5c8Xqwxhjpk6dajp27Gj69u1rli1b5lX3yy+/FPvf35YtWwosZcuWNQsWLPC8Lo7KlSt7/lvYrVs3c+uttxqXy2WMMeb06dNm6NChpkuXLkVuPzk52fztb38zmZmZ5u677zaNGjUyffv2NadPnzZnzpwxAwYMMJ06dSrWNQwdOtTUq1fPLF682Ovf3NmzZ82SJUtM/fr1ze23316sPow5/+dx7733mjp16pjWrVubWbNmedVb8W8cAABcPa7IoF2zZk0zZ86ci9bPmTPH1KhRo1h9jB492tSvX9/Mnz/fvPzyy6ZGjRomJSXF80tsdna2sdlsRW7/jjvuMNdee635/vvvvY4HBgaa7777rlhjvyAkJMTzi3xkZGS+X+p37txpKlSoUOx+fBG++vTpYxITE82PP/6Yr+7HH380bdq0KVaALOmftzHGXHPNNSYlJcWsWLHCrFq1yqxatcqsXLnSlClTxsyePdtzrDjKly/v+XKlevXqZv369V71mZmZpkqVKkVu3+FwmJ07dxpjjDlz5owJDAw033zzjad++/btJiQkpMjtG2PMvffeayIiIsz06dPNnj17zIkTJ8yJEyfMnj17zIwZM0xkZKS57777itXHc889ZypUqGBGjRplBgwYYMqVK2cmTpzoqbcidP3+C5T/LlZ9sRIUFOT5eVSrVs1s2rTJq37btm3F+nlUrlzZ89+oEydOmDJlynj9ndq6dasJDw8vcvvGGBMaGmq+/PLLi9Z/8cUXJjQ0tFh9GGPM+PHjTdWqVc1TTz1lHnzwQRMSEmKGDx/uqbfi3zgAALh6XJFB+8UXXzR2u92MHj3afPjhh2bdunVm3bp15sMPPzSjR482QUFBZurUqcXqIzY21qxcudLz+pdffjHXXXed6dKlizl16pQlv4i///77JiYmxrzwwgueY1YG7b/+9a/mgQceMMacn5l67rnnvOpffvllU69evWL344vwFRwcnC9E/N7GjRtNcHBwkdv3xc/78OHDpnfv3qZ9+/bm559/9hy38mceHx9v5s2bZ4wxplGjRmbp0qVe9V999ZUJCwsrcvtVqlQxW7duNcYYk5eXZwICAszatWs99Vu2bClWkDfm/Kz84sWLL1q/ePFiExkZWaw+4uLizJtvvul5/eWXX5qIiAjz8MMPG2OsCdrNmjUzKSkp5ocffjB79+41e/fuNXv27DGBgYFm6dKlnmPFkZCQYGbOnGmMMaZ58+ZmwYIFXvWfffaZiYqKKnL7oaGhZvv27caY8zPCZcqUMRkZGZ76H374wVSuXLnI7Rtz/r8fGzZsuGj9119/bRwOR7H6MMaYunXrmo8++sjzeseOHaZu3brmtttuM263mxltAABQKFdk0DbGmHnz5pmEhAQTGBjomSUKDAw0CQkJ5u233y52+0FBQZ6ZwQucTqdJTEw0HTp0MLt377bkl7Kff/7ZdOjQwXTt2tUcPHjQ0tD1/fffm/DwcDNo0CDz2GOPmeDgYDNgwADzxBNPmEGDBhm73W5mz55d7H58Eb7Cw8MvOdu7cuXKYs2s+ernbYwxL730komOjjZz5841xlgbtGfPnm2qV69uVq5caV5//XXTqFEjs2zZMrN//36zYsUK07Rp02LdhturVy/To0cP88UXX5jhw4ebVq1amZSUFHP8+HGTl5dn/va3v5muXbsW6xoqVKhgvv3224vWb9myxVSsWLFYfQQFBZk9e/Z4HcvMzDRVq1Y1DzzwgCWhy+VymbvvvtvExcV5fUlk5c/7448/NmFhYWb27Nlm9uzZpmbNmuaVV14xX375pXn11VdNTEyMuffee4vcfseOHc3QoUPNzz//bCZMmGDq1q1rhgwZ4qn/xz/+Ya6//vpiXcOtt95qmjdvXuAXaZs2bTItW7Y0qampxerDmIJ/5j///LOpX7++SU1NNfv37ydoAwCAP+2KDdoXnD592hw4cMAcOHDAnD592rJ2GzRoYD755JN8x48dO2YSExNNs2bNLPulzO12m4kTJ5qoqChTpkwZy34JN+b87eF///vfTaVKlTxfSJQtW9a0adMm3+xXUfkifP3jH/8wNWrUMO+//77Jzc31HM/NzTXvv/++qVmzprnzzjuL3L4vf97GGPPdd9+ZZs2amf79+1savIwx5umnnzYVKlQwQUFBply5cl7Pg/fu3dscO3asyG1v377d1KtXz9hsNtOoUSPz888/m7/+9a8mMDDQBAYGmoiICK8Zz6Lo3r276dKli+fZ8t/75ZdfTNeuXU1KSkqx+oiJiTGff/55vuPfffedqVq1qhk0aJBlP+9PP/3UVK9e3UycONGcO3fO8p/3u+++a6pXr57vNvXy5cubMWPGeD33XFhff/21CQ8PNwEBASYiIsJs3brVJCQkmKioKBMdHW2CgoLyPd9eWEeOHDFdu3Y1NpvNhIWFmYYNG5qGDRuasLAwExAQYLp162Z+++23YvVhjDG1atUqcKz79+839evXN507dyZoAwCAP+2KXHXcF0aPHq2DBw9q/vz5+eqOHTumzp07a8OGDTp37pxlfWZkZOiLL77QoEGDVLlyZcvalc6vbn3o0CG53W5VqVLF0pWbd+zYoZSUFO3cuVMNGzbU0qVL9Y9//EOffvqpJKly5cpavHixWrRoUeQ+XC6XxowZo1dffVVnz55VuXLlJEmnT59WYGCghg4dqmeffVZ2u71I7fvj53369Gk98MADWrlypd5//33VqlXLsraPHj2qpUuXavfu3XK73apWrZratm1rybZxknT48GGFh4d7Xi9fvlwnT55UYmKi1/GiyMrKUvfu3fXjjz+qadOmXtv3ZWZmKi4uTh9//LFiYmKK3Mett96qqlWr6tlnn81X991336l9+/Y6fPiwZT/vnJwcDRkyRMePH9fatWu1ZcsWxcXFWdK2dH4Lrk2bNnn9vFu2bKlKlSoVu+28vDz9+OOPatCggYKDg3Xq1Cm9+eabOnnypDp37qwGDRpYcAXSDz/8oHXr1uXbUeDCavzFdfvtt8sYo1mzZuWr279/v5KSkrR7925L/40DAIArF0G7iH777TcdOHBAjRs3LrD+2LFj2rRpk2688UYfj6xwDh48qGnTpumLL77QwYMHFRAQoNq1a6t379667bbbir2n8u+VZPi6wOl0KiMjw+uX8ZYtWxZrSyzpyvl5XyncbreWLFlSYPDq0qVLgVuwFca3336rjIwMDRkypMD6rVu36r333tP48eOL1c9/e/7557Vy5Uq98MILql69uqVt49J++ukn/fjjj0pOTi6w/sCBA1q6dKkGDx7s45EBAIDLEUG7GC7MsFyYVfnxxx/13HPPyeVyacCAAerQoUOR2960aZMqV67smcX83//9X02fPl379u1TjRo1dOedd+qWW24p1vg3btyoTp06qW7dugoKCtLatWt166236vTp01qyZIni4uK0ePFiS2a98OeV5F7dBdmzZ4927typatWqqUmTJsVub8uWLcrIyFBSUpJq166t7777TlOnTpXb7dZNN9100SAD3/vtt9/00UcfadCgQZa226FDB82ePVs1atSwpD3+TgEAgMuO/+5av7wtWrTIlCtXzoSFhZny5cubRYsWmYiICNOpUyfToUMHU6ZMGbN8+fIitx8fH+9ZEfrll182QUFBZvTo0WbatGlmzJgxJjg4ON8+r4XVtm1b88gjj3he/+///q9JSEgwxpx/LvLaa681o0ePLlYfv5eVlVXg87+nT582q1evLnbbv39m9/PPPze33nqradeunUlNTTVfffVVsdo35vz2RbNmzTJDhgwxXbt2Nd27dzd33nlnsZ9BvcAXe3WPHDnS8zM4ceKE6dOnj9eWUu3bty/WM9rvvfeeKVOmjAkPDzfBwcFm6dKlJjQ01HTq1MkkJyebMmXKeK3mXRwX2yv73Llz5qeffrKkj9/bvXu3+eyzzzz7kFth8+bNZtasWWbXrl3GmPPbYY0cOdLccccdl1xZ3cr+i/N36sMPPyywlClTxrz44oue18Xhy79Tl3LkyJFLbhsJAADwewTtIkpMTDQPPvigMcaYt956y1SuXNn861//8tQ/8MADpnPnzkVuPygoyLO1T/PmzT1b9Fzw5ptvmri4uCK3f6GPC7/gG3M+oJQtW9ZkZ2cbY85v/RMdHV2sPowx5sCBA6Z169YmICDAlClTxgwcONArzFkRIK+77jrP1jwffPCBCQgIMH/961/N/fffb2666SZTtmxZr617CmvHjh2mRo0aJjIy0sTExBibzWZSUlJMQkKCKVOmjOnbt685c+ZMsa7BF3t1BwQEmJycHGOMMWlpaaZ69epmxYoVJi8vz3zxxRemTp06ni3fiqJFixbm8ccfN8ac/3cRGhpqHn30UU/95MmTzbXXXlusa/DXFxK/39u6uF9IGOObAJmbm3vJsmbNmmL9WV1qL/Dff4FTHL74O/VnFPdLCQAAcHUhaBeRw+EwO3bsMMYYz0rBv99+5sJWQEUVHh5uNm7caIwxJjIy0mzevNmrfufOnSYoKKjI7RtjTI0aNcwXX3zheX3gwAFjs9nMiRMnjDHG7Nmzx5QvX75YfRhjzKBBg0xCQoLZsGGDWbp0qWnZsqVp1aqVOXLkiDHGmgBZsWJFz/ZbCQkJZtKkSV71L7zwgmnevHmR2+/WrZu54447jNvtNsYYM2nSJNOtWzdjzPmVtmvWrGnGjx9f5PaN8c1e3TabzRO0mzRp4tlC7IIPP/zQ1K9fv8jtV6xY0bNFktvtNmXLlvXaimvXrl3F2s/cmCvjCwljfBMgLwTdi5XiBuELK7xf+LO6wMqV033xd8qYkv9SAgAAXF0I2kXkcDjMzp07Pa+Dg4O9Zof37t1brJA6YMAAM3ToUGOMMX379jUPPfSQV/3EiRNN06ZNi9y+McbcfffdpkmTJmbRokVmxYoVpn379iYpKclTv3jxYlOnTp1i9WGMMdHR0Wb9+vWe16dOnTI9e/Y01157rTl8+LAlATIkJMRs2bLFGHP+i4kL//+CnTt3mgoVKhS5/QoVKpjt27d7XrtcLlO2bFnz66+/GmPOz6LXrFmzyO0b45u9um02mzl06JAxxnt/8wv27t1brC9woqKiPF8QHTlyxNhsNq8vD77++msTFRVV5PaNuTK+kDDGNwHS4XCYJ5980qxatarA8vLLLxf7z+qZZ54xMTExXneMWBm0ffF3ypiS/1ICAABcXQL9/Yz45apmzZrasWOH6tSpI0lau3at1yJV+/btU7Vq1Yrc/pNPPqm2bdvqxhtvVKtWrfT0009r1apVatSokbZt26Z169ZpwYIFxbqGxx9/XAcPHlTPnj117tw5JSYm6o033vDU22w2paenF6sPScrNzfXajsxut+v9999X37591b59e68+i+rGG2/UW2+9pfj4eDVv3lyrVq1SfHy8p37lypW65ppritx+aGiojh075nl94sQJr23E4uPjdfDgwaJfgKTY2Fj98MMPXtt4VapUSZ999pm6dOmim266qVjtX/Dwww+rQoUKCggIyLeS+uHDh1WxYsUit92pUyeNGjVKd911l95++2116dJFaWlpmj17tmw2m+699161a9euWOP/5ZdfvBbZqlKlipYtW6bk5GR1795dr7zySrHav8Bms0mSsrOzvf4uSVKzZs2UlZVVrPYrVaqkw4cPq2bNmjp69KjOnj2rw4cPe+oPHz6s4ODgYvVxYcu8i62GHxoaKlPM9TDHjh2r9u3bKzU1VR999FGBW6IVhy/+Tknnfx4PPvigEhISCqzfsWOH7rjjjmL3AwAArg4E7SIaOXKk136q/71a86JFi4q16nh0dLS++eYbTZo0SR999JGMMfr666+VlZWltm3b6ssvv1SrVq2K3L4kBQcH6+2339apU6d09uzZfL/Ud+nSpVjtX1C7dm19++23Xns0BwYGav78+erbt6969OhR7D4mTZqk66+/XgcOHFC7du304IMPasOGDZ4vJt5++21Nnz69yO137txZ48aN0/Tp02W325WWlqZrr73WsyL7vn37FBkZWaxr6NKli2bPnq3u3bt7HQ8ODtaSJUvUuXPnYrUvSTfccIO2bdsmSYqLi9NPP/3kVf/pp59edAuzP2Py5MkaOHCgRowYobZt2+rtt9/WQw89pLi4ONlsNtWpU6fAfYoL40r4QkLyTYC89dZbdfLkyYvWR0VFWbJF2bXXXquNGzdq7Nixuvbaa4sd3n/PF3+nJN98KQEAAK4ebO+FEnf//fdr8+bNWrJkSb66s2fPqk+fPvroo4/kdruL1c+uXbv00EMP6ZNPPtHx48clnQ/0rVu31r333qvevXsXue1Dhw6pV69eWr9+vWw2m2JiYrRgwQI1b95ckvTuu+/q4MGDuuuuu4rcR2nYq3v37t0qV66c5Xs47969WydOnFDDhg0VGFi87/dGjx6tgwcPav78+fnqjh07ps6dO2vDhg1eX4QVVlJSkmdGW5JSU1N1++23e14//vjjWrZsmVatWlXkPnJycjRw4ECtXbvWK0BOnTpVklS3bl0tWrTIc9eMlYwxXtdnpYULF2r58uV68MEHi/3l06VY+XdKkl5++WWdPHlSo0ePLrA+JydH06dPt3zvdAAAcGUiaKPEnT17VidOnJDD4bho/f79+y3bc9cYo0OHDsntdqtKlSoqW7asJe1K528fdblclv1yj8K7kr+QuNC2lQGyIOXKldOWLVvUqFGjy7J9X/UBAABQVCQFlLjAwMCLhmxJOnjwoCZMmKBXX33Vkv5sNpuqVq3qdSwrK0vjx48vdh+/v/29JNo/efKkMjIyFBYWpri4OK+6U6dO6Z133tGgQYNKdR8l3X7lypWVnZ2t2bNnKzExUQ0bNtSPP/6o5557Ti6XSwMGDCjWYxsX/PDDD1q3bp3atGmjBg0aXJZ9jBs3rsDj586d06RJkxQeHi5JeuaZZ0pl+77qoyB5eXl65513tHPnTlWrVk39+/f39AUAAPBHmNGG323ZskUtWrQo1q2+/u7Diva3b9+uLl26aN++fbLZbGrXrp3mzZvnWVQvJydH0dHRpboPX1zD4sWL1atXLwUHB+vEiRNasGCBBg0apGbNmsntdmv16tX67LPPihVSr5Q+AgIC1KxZM4WGhnodX716tVq1aqWKFSvKZrNpxYoVpbJ9X/UhnV+z4IsvvlBYWJiysrJ0ww036LffflP9+vW1a9cuBQYGat26dV5rAwAAAFwMQRslbuHChZes3717t/75z38WK3yVdB++uIabbrpJZ86c0WuvvaajR49qzJgx+v7777Vq1SrFxsZaElJLug9fXEObNm3UoUMHPf7445o3b57+8Y9/aOTIkXriiSckSWlpacrIyNBnn3121fcxadIkzZw5U6+88opXYC9btqy2bNmS746D0ta+r/qQzgf67OxsRUZGasCAAdqzZ48+/fRThYSE6Pjx47rpppsUERGhuXPnWtIfAAC4wvljTzFcXS7sP2uz2S5arNj3uCT78MU1REZGeu2j7Ha7zYgRI0xsbKzZtWuXJftDl3QfvrgGh8NhduzYYYwx5ty5cyYwMNBs2rTJU5+ZmWmqVq1KH//f119/berXr2/++c9/mtOnTxtjrN3nuqTb91Ufv987vXbt2uazzz7zqv/yyy9NTEyMZf0BAIArW4C/gz6ufNWqVdP7778vt9tdYNm0aVOp78MX13Dy5Emvxa9sNpumTZumnj176sYbb9T27dtLfR++uIYL7UrnZyHLly+vkJAQT12lSpWUm5tLH/9f69atlZGRoV9++UWtWrXS1q1bLV1xvKTb91Uf0v/9PE6dOuV53OGCa665Rr/88ovlfQIAgCsTQRslrmXLlsrIyLhovc1mK/b+tCXdhy+uoWHDhtq4cWO+4y+++KJ69eqlv/71r8Vq3xd9+OIaatasqR07dnher127VrGxsZ7X+/btyxeSrtY+LggODtacOXOUlpamTp06Wb5WQUm376s+OnbsqBYtWsjpdHr2m7/gp59+YjE0AADwp7HqOErcvffeq7y8vIvW161bVytXrizVffjiGm666Sa99dZbGjhwYL66F198UW63W9OnTy/VffjiGkaOHOkVspo0aeJVv2jRomKv1n2l9PHfbrnlFrVr104ZGRmWbafny/ZLso//3h87ODjY6/VHH32k66+/3rL+AADAlY3F0AAAAAAAsBC3jgMAAAAAYCGCNgAAAAAAFiJoAwAAAABgIYI2AAAAAAAWImgDAAAAAGAhgjYAAAAAABYiaAMAAAAAYCGCNgAAAAAAFiJoAwAAAABgIYI2AAAAAAAWImgDAAAAAGAhgjYAAAAAABYiaAMAAAAAYCGCNgAAAAAAFiJoAwAAAABgIYI2AAAAAAAWImgDAAAAAGAhgjYAAAAAABYiaAMAAAAAYCGCNgAAAAAAFiJoAwAAAABgIYI2AAAAAAAWImgDAAAAAGAhgjYAAAAAABYiaAMAAAAAYCGCNgAAAAAAFiJoAwAAAABgIYI2AAAAAAAWImgDAAAAAGAhgjYAAAAAABYiaAMAAAAAYCGCNgAAAAAAFiJoAwAAAABgIYI2AAAAAAAWImgDAAAAAGAhgjYAAAAAABYiaAMAAAAAYCGCNgAAAAAAFiJoAwAAAABgIYI2AAAAAAAWImgDAAAAAGAhgjYAAAAAABYqdNDev3+/BgwYoPDwcAUFBalp06bauHGjp95msxVYnnrqKUnS3r17NXToUNWqVUtBQUGqU6eOxo8fr9OnT1t3VQAAAAAA+ElgYU7+7bff1LZtW7Vv316LFi1SRESEduzYocqVK3vOOXjwoNd7Fi1apKFDh6pPnz6SpB9//FFut1szZsxQ3bp1tXXrVg0bNkx5eXmaPHmyBZcEAAAAAID/2Iwx5s+e/MADD+jLL7/UmjVr/nQHvXv31rFjx7R8+fKLnvPUU09p2rRp2r17959uFwAAAACA0qhQM9oLFy5UcnKy+vbtq9WrV+uaa67RP/7xDw0bNqzA83NycvTJJ59ozpw5l2w3NzdXYWFhF613uVxyuVye1263W0eOHFF4eLhsNlthLgEAgBJhjNGxY8cUHR2tgACWQCkut9utAwcOqFKlSnzWAwBKhUJ91ptCsNvtxm63m7S0NLNp0yYzY8YMU758efPaa68VeP6TTz5pKleubE6ePHnRNnfs2GEcDoeZOXPmRc8ZP368kUShUCgUSqkvWVlZhfloxUVkZWX5/WdJoVAoFEpB5c981hfq1vFy5cqpVatW+uqrrzzHRo8erQ0bNmjt2rX5zm/YsKE6d+6sF154ocD29u/frxtvvFFJSUl65ZVXLtrvf89o5+bmKjY2VllZWXI4HH92+AAAlBin06mYmBgdPXpUISEh/h7OZS83N1ehoaG6ZuRrCrBX+MPzt05I9sGoAABXs8J81hfq1vFq1aopLi7O61ijRo303nvv5Tt3zZo12rZtm95+++0C2zpw4IDat2+vNm3aaObMmZfs1263y2635zvucDgI2gCAUoXbnK1x4c8xwF7hTwVtfh8AAPjKn/msL9RDZG3bttW2bdu8jm3fvl01atTId+6sWbPUsmVLNWvWLF/d/v37lZSUpJYtW2r27Nk8ywYAAAAAuGIUKuGOHTtW69at08SJE7Vz507NnTtXM2fO1KhRo7zOczqdmj9/vm6//fZ8bVwI2bGxsZo8ebJ++eUXZWdnKzs7u3hXAgAAAABAKVCoW8dbt26tBQsWKC0tTY8++qhq1aqlKVOmKDU11eu8efPmyRij/v3752tj6dKl2rlzp3bu3Knq1at71RXicXEAAAAAAEqlQt+z3aNHD2VmZurUqVP64YcfCtzaa/jw4Tpx4kSBD4jfdtttMsYUWAAAgP/t379fAwYMUHh4uIKCgtS0aVNt3LixwHNHjBghm82mKVOmeB0/cuSIUlNT5XA4FBoaqqFDh+r48eM+GD0AAP5XqBltAABwZfvtt9/Utm1btW/fXosWLVJERIR27NihypUr5zt3wYIFWrdunaKjo/PVpaam6uDBg1q6dKnOnDmjIUOGaPjw4Zo7d64vLgMAAL8iaAMAAI8nn3xSMTExmj17tudYrVq18p23f/9+3XXXXVqyZIlSUlK86n744QctXrxYGzZsUKtWrSRJL7zwgrp3767JkycXGMwBALiSsNw3AADwWLhwoVq1aqW+ffsqMjJSzZs318svv+x1jtvt1sCBA3XvvfeqcePG+dpYu3atQkNDPSFbkjp16qSAgACtX7++wH5dLpecTqdXAQDgcnVZz2j3ChmkQFtZfw8DuOoEBAWVeB/ukydLvA/ASmfNGX8PwRK7d+/WtGnTNG7cOP3rX//Shg0bNHr0aJUrV06DBw+WdH7WOzAwUKNHjy6wjezsbEVGRnodCwwMVFhY2EV3GUlPT9eECROsvRgAAPzksg7aAADAWm63W61atdLEiRMlSc2bN9fWrVs1ffp0DR48WBkZGXruuee0adMm2Ww2y/pNS0vTuHHjPK+dTqdiYmIsax8AAF/i1nEAAOBRrVo1xcXFeR1r1KiR9u3bJ0las2aNDh06pNjYWAUGBiowMFA//fST/vnPf6pmzZqSpKioKB06dMirjbNnz+rIkSOKiooqsF+73S6Hw+FVAAC4XDGjDQAAPNq2batt27Z5Hdu+fbtq1KghSRo4cKA6derkVZ+cnKyBAwdqyJAhkqTExEQdPXpUGRkZatmypSRpxYoVcrvdSkhI8MFVAADgXwRtAADgMXbsWLVp00YTJ05Uv3799PXXX2vmzJmaOXOmJCk8PFzh4eFe7ylbtqyioqLUoEEDSednwLt27aphw4Zp+vTpOnPmjO68807dcsstrDgOALgqFPrW8f3792vAgAEKDw9XUFCQmjZtqo0bNxZ47ogRI2Sz2TRlyhSv40eOHFFqaqocDodCQ0M1dOhQHT9+vEgXAAAArNO6dWstWLBAb731lpo0aaLHHntMU6ZMUWpqaqHaefPNN9WwYUN17NhR3bt3V7t27TxhHQCAK12hZrR/++03tW3bVu3bt9eiRYsUERGhHTt2qHLlyvnOXbBggdatW1fgN9epqak6ePCgli5dqjNnzmjIkCEaPny45s6dW/QrAQAAlujRo4d69Ojxp8/fu3dvvmNhYWF8rgMArlqFCtpPPvmkYmJiNHv2bM+xWrVq5Ttv//79uuuuu7RkyRKlpKR41f3www9avHixNmzY4Nlf84UXXlD37t01efJkbikDAAAAAFzWCnXr+MKFC9WqVSv17dtXkZGRat68uV5++WWvc9xutwYOHKh7771XjRs3ztfG2rVrFRoa6gnZktSpUycFBARo/fr1BfbrcrnkdDq9CgAAAAAApVGhgvbu3bs1bdo01atXT0uWLNHIkSM1evRozZkzx3POk08+qcDAQI0ePbrANrKzsxUZGel1LDAwUGFhYcrOzi7wPenp6QoJCfEU9tUEAAAAAJRWhbp13O12q1WrVpo4caIkqXnz5tq6daumT5+uwYMHKyMjQ88995w2bdokm81m2SDT0tI0btw4z2un00nYBgDgKrB1QjJ7agMALjuFmtGuVq2a4uLivI41atRI+/btkyStWbNGhw4dUmxsrAIDAxUYGKiffvpJ//znP1WzZk1JUlRUlA4dOuTVxtmzZ3XkyBFFRUUV2K/dbpfD4fAqAAAAAACURoWa0W7btq22bdvmdWz79u2qUaOGJGngwIHq1KmTV31ycrIGDhyoIUOGSJISExN19OhRZWRkqGXLlpKkFStWyO12KyEhocgXAgAAAABAaVCooD127Fi1adNGEydOVL9+/fT1119r5syZnn0xw8PDFR4e7vWesmXLKioqSg0aNJB0fga8a9euGjZsmKZPn64zZ87ozjvv1C233MKK4wAAAACAy16hbh1v3bq1FixYoLfeektNmjTRY489pilTpig1NbVQnb755ptq2LChOnbsqO7du6tdu3aesA4AAAAAwOXMZowx/h5EYTmdToWEhChJvRRoK+vv4QBXnYCgoBLvw33yZIn3AVjprDmjVfpQubm5rCVigQuf9fx5AgBKi8J8NhVqRhsAAFz59u/frwEDBig8PFxBQUFq2rSpNm7c6Kk3xujf//63qlWrpqCgIHXq1Ek7duzwamP79u3q1auXqlSpIofDoXbt2mnlypW+vhQAAPyCoA0AADx+++03tW3bVmXLltWiRYv0/fff6+mnn1blypU95/znP//R888/r+nTp2v9+vWqWLGikpOTderUKc85PXr00NmzZ7VixQplZGSoWbNm6tGjh7Kzs/1xWQAA+BS3jgMoNG4dB/K7Um4df+CBB/Tll19qzZo1BdYbYxQdHa1//vOfuueeeyRJubm5qlq1ql577TXdcsst+vXXXxUREaHPP/9c119/vSTp2LFjcjgcWrp0ab4dSgrCreMAgNKGW8cBlCj3yZMlXgD4x8KFC9WqVSv17dtXkZGRat68uV5++WVP/Z49e5Sdne0VlkNCQpSQkKC1a9dKOr8LSYMGDfT6668rLy9PZ8+e1YwZMxQZGenZ2vO/uVwuOZ1OrwIAwOWKoA0AADx2796tadOmqV69elqyZIlGjhyp0aNHa86cOZLkufW7atWqXu+rWrWqp85ms2nZsmX65ptvVKlSJZUvX17PPPOMFi9e7HUL+u+lp6crJCTEU2JiYkrwKgEAKFkEbQAA4OF2u9WiRQtNnDhRzZs31/DhwzVs2DBNnz79T7dhjNGoUaMUGRmpNWvW6Ouvv1bv3r3Vs2dPHTx4sMD3pKWlKTc311OysrKsuiQAAHyOoA0AADyqVaumuLg4r2ONGjXSvn37JElRUVGSpJycHK9zcnJyPHUrVqzQxx9/rHnz5qlt27Zq0aKFXnrpJQUFBXlmxv+b3W6Xw+HwKgAAXK4I2gAAwKNt27batm2b17Ht27erRo0akqRatWopKipKy5cv99Q7nU6tX79eiYmJkqQTJ05IkgICvH/NCAgIkNvtLsnhAwBQKhC0AQCAx9ixY7Vu3TpNnDhRO3fu1Ny5czVz5kyNGjVK0vnnr8eMGaPHH39cCxcuVGZmpgYNGqTo6Gj17t1bkpSYmKjKlStr8ODB2rJli7Zv3657771Xe/bsUUpKih+vDgAA3yh00N6/f78GDBig8PBwBQUFqWnTptq4caOn3hijf//736pWrZqCgoLUqVMn7dixw6uN7du3q1evXqpSpYocDofatWunlStXFv9qAABAsbRu3VoLFizQW2+9pSZNmuixxx7TlClTlJqa6jnnvvvu01133aXhw4erdevWOn78uBYvXqzy5ctLkqpUqaLFixfr+PHj6tChg1q1aqUvvvhCH374oZo1a+avSwMAwGcKtY/2b7/9pubNm6t9+/YaOXKkIiIitGPHDtWpU0d16tSRJD355JNKT0/XnDlzVKtWLT388MPKzMzU999/7/kArl+/vurVq6f09HQFBQVpypQpeu2117Rr1y7P812Xwj7aAIDS5krZR7u0YB9tAEBpU5jPpkIF7QceeEBffvml1qxZU2C9MUbR0dH65z//qXvuuUeSlJubq6pVq+q1117TLbfcol9//VURERH6/PPPdf3110uSjh07JofDoaVLl3rty/lHF0jQBgCUFgRtaxG0AQClTWE+mwp16/jChQvVqlUr9e3bV5GRkWrevLlefvllT/2ePXuUnZ3tFZZDQkKUkJCgtWvXSpLCw8PVoEEDvf7668rLy9PZs2c1Y8YMRUZGqmXLlgX263K55HQ6vQoAAAAAAKVRoYL27t27NW3aNNWrV09LlizRyJEjNXr0aM9WHdnZ2ZKkqlWrer2vatWqnjqbzaZly5bpm2++UaVKlVS+fHk988wzWrx4sSpXrlxgv+np6QoJCfGUmJiYQl8oAAAAAAC+UKig7Xa71aJFC02cOFHNmzfX8OHDNWzYME2fPv1Pt2GM0ahRoxQZGak1a9bo66+/Vu/evdWzZ08dPHiwwPekpaUpNzfXU7KysgozbAAAAAAAfKZQQbtatWqKi4vzOtaoUSPt27dPkjwLmeXk5Hidk5OT46lbsWKFPv74Y82bN09t27ZVixYt9NJLLykoKMgzM/7f7Ha7HA6HVwEAAAAAoDQqVNBu27attm3b5nVs+/btqlGjhiSpVq1aioqK0vLlyz31TqdT69evV2JioiTpxIkT5zsO8O46ICBAbre78FcAAAAAAEApUqigPXbsWK1bt04TJ07Uzp07NXfuXM2cOVOjRo2SdP756zFjxujxxx/XwoULlZmZqUGDBik6Olq9e/eWJCUmJqpy5coaPHiwtmzZou3bt+vee+/Vnj17lJKSYvkFAgAAAADgS4GFObl169ZasGCB0tLS9Oijj6pWrVqaMmWKUlNTPefcd999ysvL0/Dhw3X06FG1a9dOixcv9uyhXaVKFS1evFgPPvigOnTooDNnzqhx48b68MMP1axZM2uvDgAAAAAAHyvUPtqlBftoAwBKG/bRthb7aAMASpsS20cbAABc2R555BHZbDav0rBhQ0nS3r1789VdKPPnz/dq57XXXlN8fLzKly+vyMhIz2NmAABcDQp16zgAALjyNW7cWMuWLfO8Dgw8/+tCTExMvq04Z86cqaeeekrdunXzHHvmmWf09NNP66mnnlJCQoLy8vK0d+9en4wdAIDSgKANAAC8BAYGerbl/L0yZcrkO75gwQL169dPwcHBkqTffvtNDz30kD766CN17NjRc158fHzJDhoAgFKEW8cBAICXHTt2KDo6WrVr11Zqaqr27dtX4HkZGRnavHmzhg4d6jm2dOlSud1u7d+/X40aNVL16tXVr18/ZWVlXbJPl8slp9PpVQAAuFwRtAEAgEdCQoJee+01LV68WNOmTdOePXt0/fXX69ixY/nOnTVrlho1aqQ2bdp4ju3evVtut1sTJ07UlClT9O677+rIkSPq3LmzTp8+fdF+09PTFRIS4ikxMTElcn0AAPgCQRsAAHh069ZNffv2VXx8vJKTk/Xpp5/q6NGjeuedd7zOO3nypObOnes1my1JbrdbZ86c0fPPP6/k5GT95S9/0VtvvaUdO3Zo5cqVF+03LS1Nubm5nvJHM+AAAJRmPKMNAAAuKjQ0VPXr19fOnTu9jr/77rs6ceKEBg0a5HW8WrVqkqS4uDjPsYiICFWpUuWit6BLkt1ul91ut3DkAAD4DzPaAADgoo4fP65du3Z5AvQFs2bN0l//+ldFRER4HW/btq0kadu2bZ5jR44c0a+//qoaNWqU/IABACgFChW02VsTAIAr2z333KPVq1dr7969+uqrr3TTTTepTJky6t+/v+ecnTt36vPPP9ftt9+e7/3169dXr169dPfdd+urr77S1q1bNXjwYDVs2FDt27f35aUAAOA3hb51nL01AQC4cv3888/q37+/Dh8+rIiICLVr107r1q3zmrl+9dVXVb16dXXp0qXANl5//XWNHTtWKSkpCggI0I033qjFixerbNmyvroMAAD8ymaMMX/25EceeUQffPCBNm/e/KfOb968uVq0aKFZs2ZJOr+35jXXXJNvb83CcjqdCgkJUZJ6KdDGhzYAwP/OmjNapQ+Vm5srh8Ph7+Fc9i581vPnCQAoLQrz2VToZ7TZWxMAAAAAgIsrVNBmb00AAAAAAC6tUEGbvTUBAAAAALi0Yu2jzd6aAAAAAAB4K9Y+2uytCQAAAACAt0IFbfbWBAAAAADg0goVtC/srdmgQQP169dP4eHhRdpbMyEhQSkpKbrxxhtVtmxZ9tYEAAAAAFwxCrWPdmnBPtoAgNKGfbStxT7aAIDSpkT30QYAAAAAABdH0AYAAF4eeeQR2Ww2r9KwYcN85xlj1K1bN9lsNn3wwQcFtnX48GFVr15dNptNR48eLdmBAwBQShRrey8AAHBlaty4sZYtW+Z5HRiY/1eGKVOmyGazXbKdoUOHKj4+Xvv377d8jAAAlFYEbQAAkE9gYKCioqIuWr9582Y9/fTT2rhxY75tPi+YNm2ajh49qn//+99atGhRSQ0VAIBSh1vHAQBAPjt27FB0dLRq166t1NRU7du3z1N34sQJ3XrrrZo6depFw/j333+vRx99VK+//roCAv741w2XyyWn0+lVAAC4XBG0AQCAl4SEBL322mtavHixpk2bpj179uj666/XsWPHJEljx45VmzZt1KtXrwLf73K51L9/fz311FOKjY39U32mp6crJCTEU2JiYiy7HgAAfI1bxwEAgJdu3bp5/n98fLwSEhJUo0YNvfPOO4qIiNCKFSv0zTffXPT9aWlpatSokQYMGPCn+0xLS9O4ceM8r51OJ2EbAHDZYkYbAABcUmhoqOrXr6+dO3dqxYoV2rVrl0JDQxUYGOhZJK1Pnz5KSkqSJK1YsULz58/31Hfs2FGSVKVKFY0fP77APux2uxwOh1cBAOByxYw2AAC4pOPHj2vXrl0aOHCg+vXrp9tvv92rvmnTpnr22WfVs2dPSdJ7772nkydPeuo3bNig//mf/9GaNWtUp04dn44dAAB/KNSMNvtqAgBw5bvnnnu0evVq7d27V1999ZVuuukmlSlTRv3791dUVJSaNGniVSQpNjZWtWrVkiTVqVPHq/7C8UaNGikyMtJv1wUAgK8UekabfTUBALiy/fzzz+rfv78OHz6siIgItWvXTuvWrVNERIS/hwYAwGWh0EGbfTUBALiyzZs3r1DnG2MuWZ+UlPSH5wAAcCUp9GJovt5XU2JvTQAAAADA5aNQQdsf+2pK7K0JAAAAALh8FOrWcX/sq3nhfeytCQAAAAC4HBRre6/f76uZmZnp2Vfz9/r06aPrr79eq1at0ooVK5SZmal3331X0v8901WlShU9+OCDmjBhQoH92O122e324gwVAABchpqMX6IAe4U/PG/vpBQfjAYAgD+nWEGbfTUBAAAAAPBWqKB9zz33qGfPnqpRo4YOHDig8ePHe/bVjIiIKHABtP/eV/P3fv31V0nn99X875lwAAAAAAAuR4UK2uyrCQAAAADApRUqaLOvJgAAAAAAl1bofbQBAAAAAMDFEbQBAIDHI488IpvN5lUaNmzoqZ85c6aSkpLkcDhks9l09OhRr/fv3btXQ4cOVa1atRQUFKQ6depo/PjxOn36tI+vBAAA/ynWquMAAODK07hxYy1btszzOjDw/35dOHHihLp27aquXbsqLS0t33t//PFHud1uzZgxQ3Xr1tXWrVs1bNgw5eXlafLkyT4ZPwAA/kbQBgBcFQKCgkq2fVNGOvnH510OAgMDC9xJRJLGjBkjSVq1alWB9RdC+AW1a9fWtm3bNG3aNII2AOCqwa3jAADAy44dOxQdHa3atWsrNTVV+/btK1Z7ubm5CgsLu+Q5LpdLTqfTqwAAcLkiaAMAAI+EhAS99tprWrx4saZNm6Y9e/bo+uuv17Fjx4rU3s6dO/XCCy/ojjvuuOR56enpCgkJ8ZSYmJgi9QcAQGlA0AYAAB7dunVT3759FR8fr+TkZH366ac6evSo3nnnnUK3tX//fnXt2lV9+/bVsGHDLnluWlqacnNzPSUrK6uolwAAgN/xjDYAALio0NBQ1a9fXzt37izU+w4cOKD27durTZs2mjlz5h+eb7fbZbfbizpMAABKlULNaLPlBwAAV5fjx49r165dqlat2p9+z/79+5WUlKSWLVtq9uzZCgjgBjoAwNWl0DPabPkBAMCV65577lHPnj1Vo0YNHThwQOPHj1eZMmXUv39/SVJ2drays7M9M9yZmZmqVKmSYmNjFRYW5gnZNWrU0OTJk/XLL7942r7YSuYAAFxpCh202fIDAIAr188//6z+/fvr8OHDioiIULt27bRu3TpFRERIkqZPn64JEyZ4zr/hhhskSbNnz9Ztt92mpUuXaufOndq5c6eqV6/u1bYxxncXAgCAHxU6aF/Y8qN8+fJKTExUenq6YmNjizyAP7vlh8vl8rxmyw8AAErGvHnzLln/yCOP6JFHHrlo/W233abbbrvN2kEBAHCZKdRDU2z5AQAAAADApRUqaLPlBwAAAAAAl1as7b3Y8gMAAAAAAG/FCtoXtvwYOHDgn37P/v371b59e7b8AAAAf2jrhGQ5HA5/DwMAgEIpVNBmyw8AAAAAAC6tUEGbLT8AAAAAALg0m7kME67T6VRISIiS1EuBtrL+Hg4A4DIQEBRUou2fNae14uTbys3N5VZnC1z4rOfPEwBQWhTms4kHpAEAAAAAsBBBGwAAAAAACxG0AQDARU2aNEk2m01jxozxHMvOztbAgQMVFRWlihUrqkWLFnrvvfe83nfkyBGlpqbK4XAoNDRUQ4cO1fHjx308egAA/KNY23sBAHC5cJ88WbLtmzMl2r4/bNiwQTNmzFB8fLzX8UGDBuno0aNauHChqlSporlz56pfv37auHGjmjdvLklKTU3VwYMHtXTpUp05c0ZDhgzR8OHDNXfuXH9cCgAAPsWMNgAAyOf48eNKTU3Vyy+/rMqVK3vVffXVV7rrrrt03XXXqXbt2nrooYcUGhqqjIwMSdIPP/ygxYsX65VXXlFCQoLatWunF154QfPmzdOBAwf8cTkAAPgUQRsAAOQzatQopaSkqFOnTvnq2rRpo7fffltHjhyR2+3WvHnzdOrUKSUlJUmS1q5dq9DQULVq1crznk6dOikgIEDr168vsD+XyyWn0+lVAAC4XHHrOAAA8DJv3jxt2rRJGzZsKLD+nXfe0d///neFh4crMDBQFSpU0IIFC1S3bl1J55/hjoyM9HpPYGCgwsLClJ2dXWCb6enpmjBhgrUXAgCAnzCjDQAAPLKysnT33XfrzTffVPny5Qs85+GHH9bRo0e1bNkybdy4UePGjVO/fv2UmZlZ5H7T0tKUm5vrKVlZWUVuCwAAf2NGGwAAeGRkZOjQoUNq0aKF59i5c+f0+eef68UXX9S2bdv04osvauvWrWrcuLEkqVmzZlqzZo2mTp2q6dOnKyoqSocOHfJq9+zZszpy5IiioqIK7Ndut8tut5fchQEA4EPFmtFmyw8AAK4sHTt2VGZmpjZv3uwprVq1UmpqqjZv3qwTJ05IkgICvH+FKFOmjNxutyQpMTFRR48e9SyOJkkrVqyQ2+1WQkKC7y4GAAA/KfKMNlt+AABw5alUqZKaNGnidaxixYoKDw9XkyZNdObMGdWtW1d33HGHJk+erPDwcH3wwQdaunSpPv74Y0lSo0aN1LVrVw0bNkzTp0/XmTNndOedd+qWW25RdHS0Py4LAACfKtKMNlt+AABwdSpbtqw+/fRTRUREqGfPnoqPj9frr7+uOXPmqHv37p7z3nzzTTVs2FAdO3ZU9+7d1a5dO82cOdOPIwcAwHeKNKP9+y0/Hn/8ca+6C1t+pKSkKDQ0VO+8806htvy46aab8vXncrnkcrk8r9nyAwAA31m1apXX63r16uV7LOy/hYWFcacaAOCqVeigzZYfAAAAAABcXKFuHWfLDwAAAAAALq1QM9ps+QEAAAAAwKUVKmhf2PLj94YMGaKGDRvq/vvvL/SWHy1btpTElh8AAAAAgCtHoYI2W34AAAAAAHBpRdre62LY8gMAAAAAcLWzGWOMvwdRWE6nUyEhIUpSLwXayvp7OAAA6Kw5o1X6ULm5uXI4HP4ezmXvwmc9f54AgNKiMJ9Nls5oAwAAAABwtSNoAwAAAABgIYI2AAC4qEmTJslms2nMmDH56owx6tatm2w2mz744AOvug0bNqhjx44KDQ1V5cqVlZycrC1btvhm0AAA+BlBGwAAFGjDhg2aMWOG4uPjC6yfMmWKbDZbvuPHjx9X165dFRsbq/Xr1+uLL75QpUqVlJycrDNnzpT0sAEA8DuCNgAAyOf48eNKTU3Vyy+/rMqVK+er37x5s55++mm9+uqr+ep+/PFHHTlyRI8++qgaNGigxo0ba/z48crJydFPP/3ki+EDAOBXBG0AAJDPqFGjlJKSok6dOuWrO3HihG699VZNnTpVUVFR+eobNGig8PBwzZo1S6dPn9bJkyc1a9YsNWrUSDVr1iywP5fLJafT6VUAALhcEbQBAICXefPmadOmTUpPTy+wfuzYsWrTpo169epVYH2lSpW0atUqvfHGGwoKClJwcLAWL16sRYsWKTAwsMD3pKenKyQkxFNiYmIsux4AAHyNoA0AADyysrJ09913680331T58uXz1S9cuFArVqzQlClTLtrGyZMnNXToULVt21br1q3Tl19+qSZNmiglJUUnT54s8D1paWnKzc31lKysLKsuCQAAnytW0GYlUgAAriwZGRk6dOiQWrRoocDAQAUGBmr16tV6/vnnFRgYqKVLl2rXrl0KDQ311EtSnz59lJSUJEmaO3eu9u7dq9mzZ6t169b6y1/+orlz52rPnj368MMPC+zXbrfL4XB4FQAALlcF37/1JxR3JdK//vWveumll3T27FmNHz9eycnJysrKUtmyZYs6JAAAUEwdO3ZUZmam17EhQ4aoYcOGuv/++1WlShXdcccdXvVNmzbVs88+q549e0o6/wx3QECA1+8BF1673e6SvwgAAPysSEH79yuRPv744/nqL6xEunHjRlWrVs2r7vcrkV54/mr8+PGKj4/XTz/9pLp16xZlSAAAwAKVKlVSkyZNvI5VrFhR4eHhnuMFLYAWGxurWrVqSZI6d+6se++9V6NGjdJdd90lt9utSZMmKTAwUO3bty/5iwAAwM+KdOu4r1ciBQAAl4+GDRvqo48+0rfffqvExERdf/31OnDggBYvXpzvC3gAAK5EhZ7RvrAS6YYNGwqs/7Mrkfbu3VuPPfaYJKlevXpasmTJRVcidblccrlcntds+QEAgO+sWrXqkvXGmHzHOnfurM6dO5fQiAAAKN0KNaPtr5VI2fIDAAAAAHC5sJmCvoa+iA8++EA33XSTypQp4zl27tw52Ww2BQQEaOTIkZo6daoCAgK86gMCAnT99ddr1apVmjVrlv71r3/p4MGDnvNOnz6typUra9asWbrlllvy9VvQjHZMTIyS1EuBNhZPAwD431lzRqv0oXJzc1kx2wJOp1MhISH8eQIASo3CfDYV6tZxf61EarfbZbfbCzNUAAAAAAD8olBBm5VIAQAAAAC4tCKtOl4crEQKAAAAALiSFWkf7d9jJVIAAAAAAP6Pz2e0AQAAAAC4khG0AQAAAACwEEEbAAAAAAALEbQBAMBFTZo0STabTWPGjPEcmzlzppKSkuRwOGSz2XT06NEC3/vJJ58oISFBQUFBqly5snr37u2TMQMA4G8EbQAAUKANGzZoxowZio+P9zp+4sQJde3aVf/6178u+t733ntPAwcO1JAhQ7RlyxZ9+eWXuvXWW0t6yAAAlArFXnUcAABceY4fP67U1FS9/PLLevzxx73qLsxuX2znkbNnz+ruu+/WU089paFDh3qOx8XFldRwAQAoVZjRBgAA+YwaNUopKSnq1KlTod+7adMm7d+/XwEBAWrevLmqVaumbt26aevWrRd9j8vlktPp9CoAAFyuCNoAAMDLvHnztGnTJqWnpxfp/bt375YkPfLII3rooYf08ccfq3LlykpKStKRI0cKfE96erpCQkI8JSYmpsjjBwDA3wjaAADAIysrS3fffbfefPNNlS9fvkhtuN1uSdKDDz6oPn36qGXLlpo9e7ZsNpvmz59f4HvS0tKUm5vrKVlZWUW+BgAA/K1YQZuVSAEAuLJkZGTo0KFDatGihQIDAxUYGKjVq1fr+eefV2BgoM6dO/eHbVSrVk2S9zPZdrtdtWvX1r59+wp8j91ul8Ph8CoAAFyuihy0WYkUAIArT8eOHZWZmanNmzd7SqtWrZSamqrNmzerTJkyf9hGy5YtZbfbtW3bNs+xM2fOaO/evapRo0ZJDh8AgFKhSKuOsxIpAABXpkqVKqlJkyZexypWrKjw8HDP8ezsbGVnZ2vnzp2SpMzMTFWqVEmxsbEKCwuTw+HQiBEjNH78eMXExKhGjRp66qmnJEl9+/b17QUBAOAHRZrRZiVSAACuXtOnT1fz5s01bNgwSdINN9yg5s2ba+HChZ5znnrqKd1yyy0aOHCgWrdurZ9++kkrVqxQ5cqV/TVsAAB8ptAz2hdWIt2wYUOROvz9SqTPPPOMatasqaefflpJSUnavn27wsLC8r0nPT1dEyZMKFJ/AACgeP77LrVHHnlEjzzyyCXfU7ZsWU2ePFmTJ08uuYEBAFBKFWpGm5VIAQAAAAC4tELNaP9+JdILzp07p88//1wvvviiXC7XHy6SUtSVSO12e2GGCgAAAACAXxQqaF9YifT3hgwZooYNG+r+++8v9Eqk7dq1k8RKpAAAAACAK0ehgjYrkQIAAAAAcGlF2t7rUqZPn+61cNkNN9wgSZo9e7Zuu+02SedXIg0MDNTAgQN18uRJJSQksBIpAAAAAOCKYDPGGH8PorCcTqdCQkKUpF4KtJX193AAANBZc0ar9KFyc3PlcDj8PZzL3oXPev48AQClRWE+m4q0jzYAAAAAACgYQRsAAAAAAAsRtAEAAAAAsBBBGwAAeEybNk3x8fFyOBxyOBxKTEzUokWLPPXZ2dkaOHCgoqKiVLFiRbVo0ULvvfdegW25XC5de+21stls2rx5s4+uAAAA/yNoAwAAj+rVq2vSpEnKyMjQxo0b1aFDB/Xq1UvfffedJGnQoEHatm2bFi5cqMzMTN18883q16+fvvnmm3xt3XfffYqOjvb1JQAA4HcEbQAA4NGzZ091795d9erVU/369fXEE08oODhY69atkyR99dVXuuuuu3Tdddepdu3aeuihhxQaGqqMjAyvdhYtWqTPPvtMkydP9sdlAADgVwRtAABQoHPnzmnevHnKy8tTYmKiJKlNmzZ6++23deTIEbndbs2bN0+nTp1SUlKS5305OTkaNmyY/vd//1cVKlT4U325XC45nU6vAgDA5YqgDQAAvGRmZio4OFh2u10jRozQggULFBcXJ0l65513dObMGYWHh8tut+uOO+7QggULVLduXUmSMUa33XabRowYoVatWv3pPtPT0xUSEuIpMTExJXJtAAD4QqGCNgukAABw5WvQoIE2b96s9evXa+TIkRo8eLC+//57SdLDDz+so0ePatmyZdq4caPGjRunfv36KTMzU5L0wgsv6NixY0pLSytUn2lpacrNzfWUrKwsy68LAABfCSzMyRcWSKlXr56MMZozZ4569eqlb775Ro0bN9agQYN09OhRLVy4UFWqVNHcuXPVr18/bdy4Uc2bN/dq68ICKVu2bLH0ggAAQPGUK1fOM0PdsmVLbdiwQc8995zuu+8+vfjii9q6dasaN24sSWrWrJnWrFmjqVOnavr06VqxYoXWrl0ru93u1WarVq2UmpqqOXPmFNin3W7P9x4AAC5XhZrRZoEUAACuPm63Wy6XSydOnJAkBQR4//pQpkwZud1uSdLzzz+vLVu2aPPmzdq8ebM+/fRTSdLbb7+tJ554wrcDBwDATwo1o/17586d0/z58wtcICUlJUWhoaF65513LrpAygcffPCnF0gBAAC+kZaWpm7duik2NlbHjh3T3LlztWrVKi1ZskQNGzZU3bp1dccdd2jy5MkKDw/XBx98oKVLl+rjjz+WJMXGxnq1FxwcLEmqU6eOqlev7vPrAQDAHwodtDMzM5WYmKhTp04pODg43wIpf//73xUeHq7AwEBVqFDhkguk7N2790/16XK55HK5PK9ZiRQAgJJx6NAhDRo0SAcPHlRISIji4+O1ZMkSde7cWZL06aef6oEHHlDPnj11/Phx1a1bV3PmzFH37t39PHIAAEqPQgftCwuk5Obm6t1339XgwYO1evVqxcXFeS2QUqVKFX3wwQfq16+f1qxZo6ZNmxZ5gZT09HRNmDChsEMFAACFNGvWrEvW16tX76ILnRakZs2aMsYUd1gAAFxWbKaYn36dOnVSnTp1dN9996lu3bpeC6RcqK9bt66mT5+u3r1766OPPpLNZvPUnzt3TmXKlLnkAikFzWjHxMQoSb0UaCtbnOEDAGCJs+aMVulD5ebmyuFw+Hs4lz2n06mQkBD+PAEApUZhPpuK/Iz2BYVdIOXxxx/31B04cEDJycl6++23lZCQcNE+WIkUAAAAAHC5KFTQZoEUAAAAAAAurVBBmwVSAAAAAAC4tEIFbRZIAQAAAADg0gL++BQAAAAAAPBnEbQBAAAAALAQQRsAAAAAAAsRtAEAAAAAsBBBGwAAeJk2bZri4+PlcDjkcDiUmJioRYsWeeqTkpJks9m8yogRIzz1W7ZsUf/+/RUTE6OgoCA1atRIzz33nD8uBQAAvyjUquMAAODKV716dU2aNEn16tWTMUZz5sxRr1699M0336hx48aSpGHDhunRRx/1vKdChQqe/5+RkaHIyEi98cYbiomJ0VdffaXhw4erTJkyuvPOO31+PQAA+BpBGwAAeOnZs6fX6yeeeELTpk3TunXrPEG7QoUKioqKKvD9//M//+P1unbt2lq7dq3ef/99gjYA4KrAreMAAOCizp07p3nz5ikvL0+JiYme42+++aaqVKmiJk2aKC0tTSdOnLhkO7m5uQoLC7tovcvlktPp9CoAAFyumNEGAAD5ZGZmKjExUadOnVJwcLAWLFiguLg4SdKtt96qGjVqKDo6Wt9++63uv/9+bdu2Te+//36BbX311Vd6++239cknn1y0v/T0dE2YMKFErgUAAF8r1Iw2i6MAAHB1aNCggTZv3qz169dr5MiRGjx4sL7//ntJ0vDhw5WcnKymTZsqNTVVr7/+uhYsWKBdu3bla2fr1q3q1auXxo8fry5duly0v7S0NOXm5npKVlZWiV0bAAAlrVAz2iyOAgDA1aFcuXKqW7euJKlly5basGGDnnvuOc2YMSPfuQkJCZKknTt3qk6dOp7j33//vTp27Kjhw4froYceumR/drtddrvdwisAAMB/ChW0WRwFAICrk9vtlsvlKrBu8+bNkqRq1ap5jn333Xfq0KGDBg8erCeeeMIXQwQAoNQo8jPa586d0/z58wtcHOWNN95QVFSUevbsqYcffthrVvu//dHiKNL5BVJ+/+HOAikAAJSctLQ0devWTbGxsTp27Jjmzp2rVatWacmSJdq1a5fmzp2r7t27Kzw8XN9++63Gjh2rG264QfHx8ZLO3y7eoUMHJScna9y4ccrOzpYklSlTRhEREf68NAAAfKLQQdvXi6NILJACAIAvHTp0SIMGDdLBgwcVEhKi+Ph4LVmyRJ07d1ZWVpaWLVumKVOmKC8vTzExMerTp4/XreHvvvuufvnlF73xxht64403PMdr1KihvXv3+uGKAADwLZsxxhTmDadPn9a+ffuUm5urd999V6+88opWr17tCdu/t2LFCnXs2DHfM1vS+W+727dvr7vvvvsPn9sqaEY7JiZGSeqlQFvZwgwfAIAScdac0Sp9qNzcXDkcDn8P57LndDoVEhLCnycAoNQozGdToWe0fb04isQCKQAAAACAy0ehtvcqSFEWR2nfvj2LowAAAAAArkiFmtFmcRQAAAAAAC6tUEGbxVEAAIAvNRm/RAH2i+9ecsHeSSk+GA0AAH9OoRdDKw0uPITOYmgAgNKCxdCsdeGzPmbMOwRtAECpUJjF0Ir9jDYAAAAAAPg/BG0AAAAAACxE0AYAAAAAwEKF3kcbAHwhICioxPtwnzxZ4n0AAADg6sOMNgAA8DJt2jTFx8fL4XDI4XAoMTFRixYtkiQdOXJEd911lxo0aKCgoCDFxsZq9OjRys3N9Wpj3759SklJUYUKFRQZGal7771XZ8+e9cflAADgc8xoAwAAL9WrV9ekSZNUr149GWM0Z84c9erVS998842MMTpw4IAmT56suLg4/fTTTxoxYoQOHDigd999V5J07tw5paSkKCoqSl999ZUOHjyoQYMGqWzZspo4caKfrw4AgJLH9l4ASiVuHcfl5krf3issLExPPfWUhg4dmq9u/vz5GjBggPLy8hQYGKhFixapR48eOnDggKpWrSpJmj59uu6//3798ssvKleu3B/2x/ZeAIDShu29AACAJc6dO6d58+YpLy9PiYmJBZ5z4ReOwMDzN8qtXbtWTZs29YRsSUpOTpbT6dR3331XYBsul0tOp9OrAABwuSpU0OaZLQAArg6ZmZkKDg6W3W7XiBEjtGDBAsXFxeU779dff9Vjjz2m4cOHe45lZ2d7hWxJntfZ2dkF9peenq6QkBBPiYmJsfBqAADwrUI9o80zWwAAXB0aNGigzZs3Kzc3V++++64GDx6s1atXe4Vtp9OplJQUxcXF6ZFHHilWf2lpaRo3bpxX24RtAMDlqtjPaPv6mS2JZ7SBqwHPaONyc6U/o92pUyfVqVNHM2bMkCQdO3ZMycnJqlChgj7++GOVL1/ec+6///1vLVy4UJs3b/Yc27Nnj2rXrq1NmzapefPmf9gfz2gDAEobnzyj7atntgAAgP+53W65XC5J53/R6NKli8qVK6eFCxd6hWxJSkxMVGZmpg4dOuQ5tnTpUjkcjgJvPwcA4EpT6O29MjMzlZiYqFOnTik4OLjEn9mSzi+QcuHDXRILpAAAUILS0tLUrVs3xcbG6tixY5o7d65WrVqlJUuWeEL2iRMn9MYbb3gtXBYREaEyZcqoS5cuiouL08CBA/Wf//xH2dnZeuihhzRq1CjZ7XY/Xx0AACWv0EHb189sSecXSJkwYUKx2wEAAH/s0KFDGjRokA4ePKiQkBDFx8dryZIl6ty5s1atWqX169dLkurWrev1vj179qhmzZoqU6aMPv74Y40cOVKJiYmqWLGiBg8erEcffdQflwMAgM8VOmiXK1fO88HasmVLbdiwQc8995zXM1tdu3ZVpUqVtGDBApUt+3/PUEdFRenrr7/2ai8nJ8dTdzEskAIAgO/MmjXronVJSUn6M8u71KhRQ59++qmVwwIA4LJR7H20ffHMlt1u92wpdqEAAAAAAFAaFWpGm2e2AAAAAAC4tEIFbZ7ZAgAAAADg0oq9j7Y/sI82cOVjH21cbq70fbR9rTB7lQIA4As+2UcbAAAAAADkR9AGAAAAAMBCBG0AAAAAACxU6H20AcAXeH4aAAAAlytmtAEAAAAAsBBBGwAAeKSnp6t169aqVKmSIiMj1bt3b23bts3rnOzsbA0cOFBRUVGqWLGiWrRooffee8/rnO3bt6tXr16qUqWKHA6H2rVrp5UrV/ryUgAA8BuCNgAA8Fi9erVGjRqldevWaenSpTpz5oy6dOmivLw8zzmDBg3Stm3btHDhQmVmZurmm29Wv3799M0333jO6dGjh86ePasVK1YoIyNDzZo1U48ePZSdne2PywIAwKfYRxsAAAtcqfto//LLL4qMjNTq1at1ww03SJKCg4M1bdo0DRw40HNeeHi4nnzySd1+++369ddfFRERoc8//1zXX3+9JOnYsWNyOBxaunSpOnXq9If9so82AKC0YR9tAABgidzcXElSWFiY51ibNm309ttv68iRI3K73Zo3b55OnTqlpKQkSedDd4MGDfT6668rLy9PZ8+e1YwZMxQZGamWLVsW2I/L5ZLT6fQq/6+9Ow+rqtr/B/4+TIf5yCggk4GKZCA5cEkzBwRxJtNuaTZYphcltesvuaZmmZCVt8m01LQyhywRrcQZzXIIZ9IUFQNFnAUFReF8fn/45dxOgApnn3ME3q/n2c+9Z6/NGtjYOp+111qbiIiorqpRoM11W0RERA2HVqvFmDFj0KFDB7Rq1Up3/ttvv8WtW7fg5uYGtVqNl19+GampqQgODgYAqFQqbNiwAXv37oWTkxNsbW0xc+ZMpKenw8XFpcqykpOTodFodIefn59J2khERGQMNQq0uW6LiIio4UhISEBWVhaWLl2qd37SpEm4cuUKNmzYgMzMTIwbNw6DBg3CwYMHAQAigoSEBHh6euLnn3/Grl270L9/f/Tp0wdnzpypsqykpCQUFhbqjry8PKO3j4iIyFgMWqNt7nVbXKNNRET3i/q2RnvUqFFIS0vD1q1b0bRpU93548ePIzg4GFlZWXjwwQd156OjoxEcHIw5c+Zg48aNiImJweXLl/V+F82aNcOwYcMwYcKEu5bPNdpERHS/Mdkaba7bIiIiql9EBKNGjUJqaio2bdqkF2QDQElJCQDAwkL/K4SlpSW0Wu0dr7GwsNBdQ0REVJ9Z1fYH77Ru68knn4SbmxusrKxgb29f5bqt/v37w8nJCRYWFvD09Lzruq2pU6fWtqpERER0jxISErB48WKkpaXByclJt6xLo9HAzs4OISEhCA4Oxssvv4z33nsPbm5uWLlyJdavX48ffvgBABAVFQUXFxc8++yzmDx5Muzs7DB37lzk5OSgV69e5mweERGRSdT6iTbXbREREdU/s2fPRmFhITp37gxvb2/dsWzZMgCAtbU1fvrpJ3h4eKBPnz4ICwvDV199hS+//BI9e/YEALi7uyM9PR3Xrl1D165d0bZtW2zbtg1paWkIDw83Z/OIiIhMolZrtO+XdVtco01ERPeL+rZG29y4RpuIiO43NembajR1XEQwevRopKamIiMjg+u2iIiIiIiIiP6mRlPHExISsGjRIixevFi3bqugoADXr18HAL11W7t27cLx48fx/vvvY/369ejfvz8A/XVb+/fvx9GjRzF+/Hiu2yIiIiIiIqJ6oUaBNtdtEREREREREd2ZQe/RNheu0SYiovsN12grq6Kv9xvzLSzU9uaujmJOpnD2HhFRXWWy92gTERERERERkT4G2kREREREREQKYqBNREREREREpKAavd6LiO5/lg+FGL2M8oN/GL0MIiIiIqK6ik+0iYiIiIiIiBTEQJuIiIh0kpOT0a5dOzg5OcHT0xP9+/fHkSNH9K7p3LkzVCqV3jFixIhKeS1cuBBhYWGwtbWFp6cnEhISTNUMIiIis+LUcSIiItLZsmULEhIS0K5dO5SVleE///kPYmJicOjQITg4OOiue+mll/Dmm2/qPtvb67+Ca+bMmXj//ffx7rvvIjIyEsXFxTh58qSpmkFERGRWDLSJiIhIJz09Xe/zwoUL4enpid27d6NTp0668/b29vDy8qoyj8uXL+P111/H6tWr0a1bN935sLAw41SaiIjoPlOjqeOcTkZERNSwFBYWAgBcXV31zn/zzTdwd3dHq1atkJSUhJKSEl3a+vXrodVqcfr0abRs2RK+vr4YNGgQ8vLyqi2ntLQURUVFegcREVFdVaMn2pxORkRE1HBotVqMGTMGHTp0QKtWrXTnn376aQQEBMDHxwcHDhzAa6+9hiNHjmDFihUAgBMnTkCr1WL69On48MMPodFo8Prrr6N79+44cOAAbGxsKpWVnJyMqVOnmqxtRERExlSjQJvTyYiIiBqOhIQEZGVlYdu2bXrnhw8frvv/Dz30ELy9vdGtWzccP34cQUFB0Gq1uHXrFj766CPExMQAAJYsWQIvLy9s3rwZsbGxlcpKSkrCuHHjdJ+Liorg5+dnpJYREREZl0G7jptqOhkRERGZ1qhRo/DDDz9g8+bN8PX1veO1kZGRAIBjx44BALy9vQEAoaGhums8PDzg7u6O3NzcKvNQq9VwdnbWO4iIiOqqWm+GZsrpZKWlpSgtLdV95rotIiIi4xARjB49GqmpqcjIyEDTpk3v+jP79u0D8L8Au0OHDgCAI0eO6IL0S5cu4cKFCwgICDBOxYmIiO4jtQ60TTmdjOu2iIiITCMhIQGLFy9GWloanJycUFBQAADQaDSws7PD8ePHsXjxYvTs2RNubm44cOAAxo4di06dOumWgTVv3hz9+vXDK6+8gs8//xzOzs5ISkpCSEgIunTpYs7mERERmUStpo6bejpZUlISCgsLdQenmRMRERnH7NmzUVhYiM6dO8Pb21t3LFu2DABgY2ODDRs2ICYmBiEhIXj11VcxYMAArF69Wi+fr776CpGRkejVqxcee+wxWFtbIz09HdbW1uZoFhERkUnV6Im2uaaTqdVqqNXqmlSViIiIakFE7pju5+eHLVu23DUfZ2dnzJ8/H/Pnz1eqakRERHVGjQJtTicjIiIiIiIiurMaTR3ndDIiIiIiIiKiO6vx1PE74XQyIiIiIiIiauhqves4ERERUV10MqWXuatARET1XK12HSciIiIiIiKiqjHQJiIiIiIiIlIQp44TmZCVm5vRyyg7+IfRyyAiIiIiourxiTYRERERERGRghhoExERERERESmIgTYRERHpSU5ORrt27eDk5ARPT0/0798fR44c0aVfunQJo0ePRosWLWBnZwd/f38kJiaisLCwyvwuXrwIX19fqFQqXLlyxUStICIiMh8G2kRERKRny5YtSEhIwI4dO7B+/XrcunULMTExKC4uBgDk5+cjPz8f7733HrKysrBw4UKkp6dj2LBhVeY3bNgwhIWFmbIJREREZsXN0IiIiEhPenq63ueFCxfC09MTu3fvRqdOndCqVSt8//33uvSgoCC8/fbbGDJkCMrKymBl9b+vF7Nnz8aVK1cwefJkrFmzxmRtICIiMqcaPdHmVDIiIqKGp6Ifd3V1veM1zs7OekH2oUOH8Oabb+Krr76ChcWdv3KUlpaiqKhI7yAiIqqrahRocyoZERFRw6LVajFmzBh06NABrVq1qvKaCxcu4K233sLw4cN150pLS/HUU0/h3Xffhb+//13LSU5Ohkaj0R1+fn6KtYGIiMjUajR1nFPJiIiIGpaEhARkZWVh27ZtVaYXFRWhV69eCA0NxRtvvKE7n5SUhJYtW2LIkCH3VE5SUhLGjRunly+DbSIiqqsMWqNt6FSynTt34sSJE3ctp7S0FKWlpbrPnE5GRERkfKNGjcIPP/yArVu3wtfXt1L61atX0aNHDzg5OSE1NRXW1ta6tE2bNuHgwYP47rvvAAAiAgBwd3fHxIkTMXXqVL281Go11Gq1EVtDRERkOrUOtJWaSnYvgXZycnKlDpmIiIiMQ0QwevRopKamIiMjA02bNq10TVFREWJjY6FWq7Fq1SrY2trqpX///fe4fv267vNvv/2GF154AT///DOCgoKM3gYiIiJzqnWgbaqpZBU/w+lkREREppGQkIDFixcjLS0NTk5OKCgoAABoNBrY2dmhqKgIMTExKCkpwaJFi/Q2L/Pw8IClpWWlYPrChQsAgJYtW6JRo0YmbQ8REZGp1SrQNuVUMoDTyYiIiExp9uzZAIDOnTvrnV+wYAGee+457NmzBzt37gQABAcH612Tk5ODwMBAU1STiIjovlWjQJtTyYiIiOq/ikHw6nTu3Pmu1yjxM0RERHVVjQJtTiUjIiIiIiIiurMaBdqcSkZERERERER0ZzWeOn4nnEpGREREREREDZ1B79EmIiIiqmsCJ/xotrJPpvQyW9lERGQ6FuauABEREREREVF9wkCbiIiIiIiISEGcOk70f6yCHzB6GdrTZ4xeBhERERERmRefaBMREREREREpiIE2ERERERERkYIYaBMREZGerVu3ok+fPvDx8YFKpcLKlSv10s+ePYvnnnsOPj4+sLe3R48ePZCdna1Lv3TpEkaPHo0WLVrAzs4O/v7+SExMRGFhoYlbQkREZB4MtImIiEhPcXExwsPDMWvWrEppIoL+/fvjxIkTSEtLw969exEQEIDo6GgUFxcDAPLz85Gfn4/33nsPWVlZWLhwIdLT0zFs2DBTN4WIiMgsuBkaERER6YmLi0NcXFyVadnZ2dixYweysrLw4IMPAgBmz54NLy8vLFmyBC+++CJatWqF77//XvczQUFBePvttzFkyBCUlZXByopfP4iIqH6r8RNtTicjIiJquEpLSwEAtra2unMWFhZQq9XYtm1btT9XWFgIZ2fnaoPs0tJSFBUV6R1ERER1VY0DbU4nIyIiarhCQkLg7++PpKQkXL58GTdv3sQ777yDU6dO4cyZql9heOHCBbz11lsYPnx4tfkmJydDo9HoDj8/P2M1gYiIyOhqPHeL08mIiIgaLmtra6xYsQLDhg2Dq6srLC0tER0djbi4OIhIpeuLiorQq1cvhIaG4o033qg236SkJIwbN07v5xhsExFRXaVoVHu36WQvvvhilT93L9PJKvIGwOlkREREZtSmTRvs27cPhYWFuHnzJjw8PBAZGYm2bdvqXXf16lX06NEDTk5OSE1NhbW1dbV5qtVqqNVqY1ediIjIJBTddZzTyYiIiBoOjUYDDw8PZGdnIzMzE/369dOlFRUVISYmBjY2Nli1apXeIDwREVF9p2igXTGd7OjRo3B1dYW9vT02b96MuLg4WFhULqom08kKCwt1R15enpLVJiIior+4du0a9u3bh3379gEAcnJysG/fPuTm5gIAli9fjoyMDN2eLN27d0f//v0RExMD4H9BdnFxMebPn4+ioiIUFBSgoKAA5eXl5moWERGRySi+IJrTyYiIiOq2zMxMdOnSRfe5Yu30s88+i4ULF+LMmTMYN24czp49C29vbwwdOhSTJk3SXb9nzx7s3LkTABAcHKyXd05ODgIDA43fCCIiIjMy2s5jGo0GAHTTyd566y1dWlFREWJjY6FWqzmdjIiI6D7TuXPnKjc2q5CYmIjExMRa/zwREVF9V+NA+9q1azh27Jjuc8V0MldXV/j7+2P58uXw8PCAv78/Dh48iFdeeaXK6WQlJSVYtGiR3rsyPTw8YGlpqVDTiIiIiIiIiEyvxoE2p5MRERERERERVa/GgTankxERERERERFVz2hrtImIiIhIX+CEH81dBaK7OpnSy9xVIKrzFH29FxEREREREVFDx0CbiIiIiIiISEGcOk6KsLCzM3oZR94LM2r+zRJ2GjV/IiIiIiJqGPhEm4iIiIiIiEhBDLSJiIiIiIiIFMRAm4iIiPRs3boVffr0gY+PD1QqFVauXFnpmsOHD6Nv377QaDRwcHBAu3btkJubq0u/ceMGEhIS4ObmBkdHRwwYMABnz541YSuIiIjMh4E2ERER6SkuLkZ4eDhmzZpVZfrx48fRsWNHhISEICMjAwcOHMCkSZNga2uru2bs2LFYvXo1li9fji1btiA/Px+PP/64qZpARERkVjUOtDnKTUREVL/FxcVh2rRpiI+PrzJ94sSJ6NmzJ2bMmIGIiAgEBQWhb9++8PT0BAAUFhZi/vz5mDlzJrp27Yo2bdpgwYIF+PXXX7Fjxw5TNoWIiMgsahxoc5SbiIio4dJqtfjxxx/RvHlzxMbGwtPTE5GRkXoD77t378atW7cQHR2tOxcSEgJ/f39s3769ynxLS0tRVFSkdxAREdVVNX69V1xcHOLi4qpN/+sod4WgoCDd/68Y5V68eDG6du0KAFiwYAFatmyJHTt24B//+EdNq0REREQmcu7cOVy7dg0pKSmYNm0a3nnnHaSnp+Pxxx/H5s2b8dhjj6GgoAA2NjZo1KiR3s82btwYBQUFVeabnJyMqVOnmqAFRERExqfoGm2OchMREdVvWq0WANCvXz+MHTsWrVu3xoQJE9C7d2/MmTOn1vkmJSWhsLBQd+Tl5SlVZSIiIpNTNND+6yh3jx49sG7dOsTHx+Pxxx/Hli1bAKDWo9wajUZ3+Pn5KVltIiIiukfu7u6wsrJCaGio3vmWLVvq9mPx8vLCzZs3ceXKFb1rzp49Cy8vryrzVavVcHZ21juIiIjqKsWfaAMc5SYiIqqvbGxs0K5dOxw5ckTv/NGjRxEQEAAAaNOmDaytrbFx40Zd+pEjR5Cbm4uoqCiT1peIiMgcarxG+07uNMq9bds2APqj3H99qn23UW61Wq1kVYmIiKga165dw7Fjx3Sfc3JysG/fPri6usLf3x/jx4/Hk08+iU6dOqFLly5IT0/H6tWrkZGRAQDQaDQYNmwYxo0bB1dXVzg7O2P06NGIioriXixERNQgKPpEm6PcREREdV9mZiYiIiIQEREBABg3bhwiIiIwefJkAEB8fDzmzJmDGTNm4KGHHsK8efPw/fffo2PHjro8/vvf/6J3794YMGAAOnXqBC8vL6xYscIs7SEiIjK1Gj/R5ig3ERFR/da5c2eIyB2veeGFF/DCCy9Um25ra4tZs2ZV+zpQIiKi+qzGgXZmZia6dOmi+zxu3DgAwLPPPouFCxfqRrmTk5ORmJiIFi1aVDnKbWFhgQEDBqC0tBSxsbH49NNPFWgOERERERERkXnVONDmKDcRERERERFR9RRdo01ERERERETU0Cm66zgREREREdVtgRN+NHcViBRzMqWXWcrlE20iIiIiIiIiBfGJNilizfEdRi8j1ue60csgIiIiIiIyFJ9oExERERERESmIgTYRERERERGRghhoExERERERESmIgTYRERHp2bp1K/r06QMfHx+oVCqsXLlSl3br1i289tpreOihh+Dg4AAfHx8MHToU+fn5enkcPXoU/fr1g7u7O5ydndGxY0ds3rzZxC0hIiIyDwbaREREpKe4uBjh4eGYNWtWpbSSkhLs2bMHkyZNwp49e7BixQocOXIEffv21buud+/eKCsrw6ZNm7B7926Eh4ejd+/eKCgoMFUziIiIzKbGgTZHuYmIiOq3uLg4TJs2DfHx8ZXSNBoN1q9fj0GDBqFFixb4xz/+gU8++QS7d+9Gbm4uAODChQvIzs7GhAkTEBYWhmbNmiElJQUlJSXIysoydXOIiIhMrsaBNke5iYiI6K8KCwuhUqnQqFEjAICbmxtatGiBr776CsXFxSgrK8Nnn30GT09PtGnTpso8SktLUVRUpHcQERHVVTV+j3ZcXBzi4uKqTKsY5f6rTz75BO3bt0dubi78/f11o9zz589HWFgYACAlJQWffvopsrKy4OXlVYtmEBERkTncuHEDr732Gp566ik4OzsDAFQqFTZs2ID+/fvDyckJFhYW8PT0RHp6OlxcXKrMJzk5GVOnTjVl1YmIiIzG6Gu0OcpNRERUP926dQuDBg2CiGD27Nm68yKChIQEeHp64ueff8auXbvQv39/9OnTB2fOnKkyr6SkJBQWFuqOvLw8UzWDiIhIcTV+ol0THOUmIiKqnyqC7D///BObNm3S9fMAsGnTJvzwww+4fPmy7vynn36K9evX48svv8SECRMq5adWq6FWq01WfyIiImMy2hNtjnITERHVTxV9fHZ2NjZs2AA3Nze99JKSEgCAhYX+1wwLCwtotVqT1ZOIiMhcjPJEm6PcREREdde1a9dw7Ngx3eecnBzs27cPrq6u8Pb2xhNPPIE9e/bghx9+QHl5uW4zU1dXV9jY2CAqKgouLi549tlnMXnyZNjZ2WHu3LnIyclBr169zNUsIiIik1H8iTZHuYmIiOq2zMxMREREICIiAgAwbtw4REREYPLkyTh9+jRWrVqFU6dOoXXr1vD29tYdv/76KwDA3d0d6enpuHbtGrp27Yq2bdti27ZtSEtLQ3h4uDmbRkREZBI1fqLNUW4iIqL6rXPnzhCRatPvlFahbdu2WLt2rZLVIiIiqjNq/ESbo9xERERERERE1avxE22OchMRERERERFVz+jv0SYiIiIiIiJqSIz6Hm0iIiIiUziZwn1eiIjo/sEn2kREREREREQK4hPtBsDCzs7oZcT6cCM7IiIiIiIigE+0iYiIiIiIiBTFQJuIiIiIiIhIQQy0iYiIiIiIiBTEQJuIiIhq7OrVqxgzZgwCAgJgZ2eHRx55BL/99pveNYcPH0bfvn2h0Wjg4OCAdu3aITc310w1JiIiMh2jBNrsfImIiOq3F198EevXr8fXX3+NgwcPIiYmBtHR0Th9+jQA4Pjx4+jYsSNCQkKQkZGBAwcOYNKkSbC1tTVzzYmIiIzPKLuOv/jii8jKysLXX38NHx8fLFq0CNHR0Th06BCaNGmi63yHDRuGqVOnwtnZGb///js7XyIiojrg+vXr+P7775GWloZOnToBAN544w2sXr0as2fPxrRp0zBx4kT07NkTM2bM0P1cUFCQuapMRERkUoo/0a7ofGfMmIFOnTohODgYb7zxBoKDgzF79mwA0Ot8IyIiEBQUhL59+8LT01Pp6hAREZHCysrKUF5eXmmA3M7ODtu2bYNWq8WPP/6I5s2bIzY2Fp6enoiMjMTKlSurzbO0tBRFRUV6BxERUV2leKDNzpeIiKh+c3JyQlRUFN566y3k5+ejvLwcixYtwvbt23HmzBmcO3cO165dQ0pKCnr06IF169YhPj4ejz/+OLZs2VJlnsnJydBoNLrDz8/PxK0iIiJSjuKBNjtfIiKi+u/rr7+GiKBJkyZQq9X46KOP8NRTT8HCwgJarRYA0K9fP4wdOxatW7fGhAkT0Lt3b8yZM6fK/JKSklBYWKg78vLyTNkcIiIiRRllMzR2vkRERPVbUFAQtmzZgmvXriEvLw+7du3CrVu38MADD8Dd3R1WVlYIDQ3V+5mWLVtWu/GpWq2Gs7Oz3kFERFRXGSXQZudLRETUMDg4OMDb2xuXL1/G2rVr0a9fP9jY2KBdu3Y4cuSI3rVHjx5FQECAmWpKRERkOkbZdbyCg4MDHBwcdJ3vjBkz2PkSERHVA2vXroWIoEWLFjh27BjGjx+PkJAQPP/88wCA8ePH48knn0SnTp3QpUsXpKenY/Xq1cjIyDBvxYmIiEzAKIE2O18iIqL6rbCwEElJSTh16hRcXV0xYMAAvP3227C2tgYAxMfHY86cOUhOTkZiYiJatGiB77//Hh07djRzzYmIiIzPKIE2O18iIqL6bdCgQRg0aNAdr3nhhRfwwgsvmKhGRERE9w+jBNrsfImIiIiIiKihMspmaEREREREREQNFQNtIiIiIiIiIgUx0CYiIiIiIiJSkFFf70V3Z2FnZ/QytNevG70MIiIiIiIiuo1PtImIiIiIiIgUxECbiIiIiIiISEEMtImIiIiIiIgUxECbiIiIiIiISEEMtImIiKjGTp8+jSFDhsDNzQ12dnZ46KGHkJmZWeW1I0aMgEqlwgcffGDaShIREZmJUQJtdr5ERET11+XLl9GhQwdYW1tjzZo1OHToEN5//324uLhUujY1NRU7duyAj4+PGWpKRERkHoq/3qui8+3SpQvWrFkDDw8PZGdns/MlIiKqJ9555x34+flhwYIFunNNmzatdN3p06cxevRorF27Fr169TJlFYmIiMxK8Sfaf+1827dvj6ZNmyImJgZBQUF611V0vt988w2sra2VrgYREREZyapVq9C2bVsMHDgQnp6eiIiIwNy5c/Wu0Wq1eOaZZzB+/Hg8+OCDd82ztLQURUVFegcREVFdpXigzc6XiIiofjtx4gRmz56NZs2aYe3atRg5ciQSExPx5Zdf6q555513YGVlhcTExHvKMzk5GRqNRnf4+fkZq/pERERGp3igzc6XiIioftNqtXj44Ycxffp0REREYPjw4XjppZcwZ84cAMDu3bvx4YcfYuHChVCpVPeUZ1JSEgoLC3VHXl6eMZtARERkVIoH2ux8iYiI6jdvb2+EhobqnWvZsiVyc3MBAD///DPOnTsHf39/WFlZwcrKCn/++SdeffVVBAYGVpmnWq2Gs7Oz3kFERFRXKR5os/MlIiKq3zp06IAjR47onTt69CgCAgIAAM888wwOHDiAffv26Q4fHx+MHz8ea9euNUeViYiITErxXcfvpfONjo7WS4+NjcUzzzyD559/XunqEBERkcLGjh2LRx55BNOnT8egQYOwa9cufP755/j8888BAG5ubnBzc9P7GWtra3h5eaFFixbmqDIREZFJKR5os/MlIiKq39q1a4fU1FQkJSXhzTffRNOmTfHBBx9g8ODB5q4aERHRfUHxQJudLxERUf3Xu3dv9O7d+56vP3nypPEqQ0REdJ9RPNAG2PkSERERERFRw6X4ZmhEREREREREDRkDbSIiIiIiIiIFGWXqOBEREZESsqbG8rWeRERU5zDQNjPt9evmrgIREREREREpiFPHiYiIiIiIiBTEQJuIiIiIiIhIQQy0iYiIiIiIiBTEQJuIiIiIiIhIQYoH2rNnz0ZYWBicnZ3h7OyMqKgorFmzBgBw6dIljB49Gi1atICdnR38/f2RmJiIwsJCpatBRERERsK+noiI6M4U33Xc19cXKSkpaNasGUQEX375Jfr164e9e/dCRJCfn4/33nsPoaGh+PPPPzFixAjk5+fju+++U7oqREREZATs64mIiO5MJSJi7EJcXV3x7rvvYtiwYZXSli9fjiFDhqC4uBhWVvcW9xcVFUGj0aAz+sFKZa10dYmIiGqsTG4hA2koLCxskO99NlZf31B/n0REdP+pSd9k1Pdol5eXY/ny5SguLkZUVFSV11RU8k4db2lpKUpLS3Wfi4qKFK8rERER1Rz7eiIiosqMshnawYMH4ejoCLVajREjRiA1NRWhoaGVrrtw4QLeeustDB8+/I75JScnQ6PR6A4/Pz9jVJuIiIjuEft6IiKi6hll6vjNmzeRm5uLwsJCfPfdd5g3bx62bNmi1wEXFRWhe/fucHV1xapVq2BtXf0U8KpGuf38/Dh1nIiI7hsNbeq4qfr6hvL7JCKi+19Npo6bZI12dHQ0goKC8NlnnwEArl69itjYWNjb2+OHH36Ara1tjfLjGm0iIrrfNLRA+++M1dc31N8nERHdf2rSN5nkPdparVY3Sl1UVISYmBjY2Nhg1apVNe54iYiI6P7Dvp6IiOh/FN8MLSkpCXFxcfD398fVq1exePFiZGRkYO3atbqOt6SkBIsWLUJRUZFusxMPDw9YWloqXR0iIiJSGPt6IiKiO1M80D537hyGDh2KM2fOQKPRICwsDGvXrkX37t2RkZGBnTt3AgCCg4P1fi4nJweBgYFKV4eIiIgUxr6eiIjozkyyRltpXKNNRET3m4a+RltpXKNNRET3m/tujTYRERERERFRQ8FAm4iIiIiIiEhBDLSJiIiIiIiIFKT4ZmimZOXqCisLG6PlX3bxotHyJiIiortrNWUtLNT2iuZ5MqWXovkRERH9HZ9oExERERERESmIgTYRERERERGRghhoExERERERESmIgTYRERERERGRghhoExERERERESnIrIH2rFmzEBgYCFtbW0RGRmLXrl3mrA4REREpjH09ERE1RGYLtJctW4Zx48ZhypQp2LNnD8LDwxEbG4tz586Zq0pERESkIPb1RETUUJkt0J45cyZeeuklPP/88wgNDcWcOXNgb2+PL774wlxVIiIiIgWxrycioobKLIH2zZs3sXv3bkRHR/+vIhYWiI6Oxvbt2ytdX1paiqKiIr2DiIiI7l/s64mIqCEzS6B94cIFlJeXo3HjxnrnGzdujIKCgkrXJycnQ6PR6A4/Pz9TVZWIiIhqgX09ERE1ZHVi1/GkpCQUFhbqjry8PHNXiYiIiBTEvp6IiOoTK3MU6u7uDktLS5w9e1bv/NmzZ+Hl5VXperVaDbVabarqERERkYHY1xMRUUNmlifaNjY2aNOmDTZu3Kg7p9VqsXHjRkRFRZmjSkRERKQg9vVERNSQmeWJNgCMGzcOzz77LNq2bYv27dvjgw8+QHFxMZ5//nlzVYmIiIgUxL6eiIgaKrMF2k8++STOnz+PyZMno6CgAK1bt0Z6enqlTVOIiIiobmJfT0REDZXZAm0AGDVqFEaNGmXOKhAREZERsa8nIqKGqE7sOk5ERERERERUVzDQJiIiIiIiIlKQWaeO15aIAADK5CagNV45ZXLLeJkTEVG9UobbfUZFH0WGqfg9aktLFM+7qKhI8TyJiKj+q+g/7qWvV0kd/EZw6tQp+Pn5mbsaREREleTl5cHX19fc1ajzTpw4gaCgIHNXg4iIqJJ76evrZKCt1WqRn58PJycnqFSqe/qZoqIi+Pn5IS8vD87Ozkapl7HLqA9tYBkNr4z60AaWwTLupQwRwdWrV+Hj4wMLC67MMtSVK1fg4uKC3NxcaDQac1dHEab4uzU1tqluYJvqBrbp/leTvr5OTh23sLCo9dMCZ2dno99kY5dRH9rAMhpeGfWhDSyDZdxNfQkI7wcVX2A0Gk29+HL2V6b4uzU1tqluYJvqBrbp/navfT2H3ImIiIiIiIgUxECbiIiIiIiISEENJtBWq9WYMmUK1Gp1nS2jPrSBZTS8MupDG1gGyyDTq4+/f7apbmCb6ga2qW6oj226V3VyMzQiIiIiIiKi+1WDeaJNREREREREZAoMtImIiIiIiIgUxECbiIiIiIiISEEMtImIiIiIiIgUVG8D7QsXLmDGjBmIj49HVFQUoqKiEB8fj3fffRfnz583d/WIiIjoDmbNmoXAwEDY2toiMjISu3btMneVau2NN96ASqXSO0JCQsxdrRrZunUr+vTpAx8fH6hUKqxcuVIvXUQwefJkeHt7w87ODtHR0cjOzjZPZe/R3dr03HPPVbpvPXr0ME9l71FycjLatWsHJycneHp6on///jhy5IjeNTdu3EBCQgLc3Nzg6OiIAQMG4OzZs2aq8d3dS5s6d+5c6V6NGDHCTDW+u9mzZyMsLAzOzs5wdnZGVFQU1qxZo0uva/cIuHub6to9UkK9DLR/++03NG/eHB999BE0Gg06deqETp06QaPR4KOPPkJISAgyMzPNXc1aeeCBBxTruE6dOoULFy7oPv/8888YPHgwHn30UQwZMgTbt29XpBwyzNSpU/Xuk5LKysqwfv16zJ8/Hxs2bEB5ebnBeZ47dw6bNm1CYWEhAODs2bOYMWMGUlJScPDgQYPzp9q7cuUK5s6di0mTJmHevHm6e2SI8vJynDhxAlqtFgBQWlqKb7/9FkuXLlX0S0FBQQHS0tLw2Wef4bPPPkNaWhoKCgoUy5/uL8uWLcO4ceMwZcoU7NmzB+Hh4YiNjcW5c+fMXbVae/DBB3HmzBndsW3bNnNXqUaKi4sRHh6OWbNmVZk+Y8YMfPTRR5gzZw527twJBwcHxMbG4saNGyau6b27W5sAoEePHnr3bcmSJSasYc1t2bIFCQkJ2LFjB9avX49bt24hJiYGxcXFumvGjh2L1atXY/ny5diyZQvy8/Px+OOPm7HWd3YvbQKAl156Se9ezZgxw0w1vjtfX1+kpKRg9+7dyMzMRNeuXdGvXz/8/vvvAOrePQLu3iagbt0jRUg9FBkZKcOHDxetVlspTavVyvDhw+Uf//iHImWVl5dXe/7PP/+sdb4ffvhhlYelpaUkJSXpPhuiffv2snr1ahERWblypVhYWEjfvn3ltddek/j4eLG2ttalG+rs2bOyceNGuXLlioiIFBQUyDvvvCPJycly4MABRcoQEdm5c6d88MEHMmHCBJkwYYJ88MEHsnPnTsXyN9b9FhEpLCysdFy5ckWsra1l586dunOGGDVqlO6e5uXlSUhIiFhaWkrjxo3F0tJSHnroITl16lSt89+8ebM4ODiISqUSLy8v2bdvn/j6+kqzZs2kRYsWolarZe3atQa1ocKtW7dk3759kp6eLunp6bJv3z65efOmInmb03PPPSenT59WJK/4+HhZvny5iIhkZWWJu7u7eHh4SGRkpDRu3Fi8vLzk0KFDtc5///794u3tLRYWFtKqVSvJzc2VVq1aiYODgzg6OoqLi4vs2rXLoDZcu3ZNBg8eLJaWlmJlZSWenp7i6ekpVlZWYmlpKUOGDJHi4mKDyqD7T/v27SUhIUH3uby8XHx8fCQ5OdmMtaq9KVOmSHh4uLmroRgAkpqaqvus1WrFy8tL3n33Xd25K1euiFqtliVLlpihhjX39zaJiDz77LPSr18/s9RHKefOnRMAsmXLFhER3feKir5BROTw4cMCQLZv326uatbI39skIvLYY4/JK6+8Yr5KKcDFxUXmzZtXL+5RhYo2idSPe1RT9TLQtrW1lcOHD1ebfvjwYbG1tTWojMLCQhk4cKDY2tqKp6enTJo0ScrKynTpBQUFYmFhUev8VSqV+Pr6SmBgoN6hUqmkSZMmEhgYKE2bNjWoDQ4ODnLixAkRuT04kZKSopf+8ccfS0REhEFliJgm+Dp79qx07NhRVCqVBAQESPv27aV9+/YSEBAgKpVKOnbsKGfPnq11/sa+3yIiFhYWVR4qlUrvfw3RuHFjOXjwoIiIDBo0SKKjo+X8+fMiInLx4kXp3bu3PPHEE7XOv2PHjpKQkCBXr16Vd999V5o0aaL3Zfnf//63PPLIIwa1oby8XCZOnCiNGjUSlUqldzRq1Ehef/31agdEamLWrFnSrVs3GThwoGzYsEEv7fz58wb/+9u/f3+Vh7W1taSmpuo+G8LFxUX338K4uDh5+umnpbS0VEREbt68KcOGDZOYmJha5x8bGytPPPGEHDx4UF555RVp2bKlDBw4UG7evCm3bt2SIUOGSHR0tEFtGDZsmDRr1kzS09P1/s2VlZXJ2rVrpXnz5vLiiy8aVIbI7d/H+PHjJSgoSNq1ayfz58/XS1fi3zjdm9LSUrG0tKwU9AwdOlT69u1rnkoZaMqUKWJvby/e3t7StGlTefrppw0enDWnvwelx48fFwCyd+9eves6deokiYmJpq1cLVUXaGs0GvHw8JDmzZvLiBEj5MKFC+apYC1lZ2cLAF3fv3HjRgEgly9f1rvO399fZs6caYYa1tzf2yRyO4hzd3cXNzc3efDBB2XChAl1ZhC2rKxMlixZIjY2NvL777/Xi3v09zaJ1O17VFv1MtAODAyUL7/8str0L7/8UgICAgwqIzExUZo3by7Lly+XuXPnSkBAgPTq1Uv3JbagoEBUKlWt83/55ZeldevWlZ42WVlZ6f5gDaXRaHRf5D09PSt9qT927JjY29sbXI4pgq8BAwZIVFSU/PHHH5XS/vjjD3nkkUcMCiCNfb9FRJo0aSK9evWSTZs2SUZGhmRkZMjmzZvF0tJSFixYoDtnCFtbW93giq+vb6Wn/QcPHhR3d/da5+/s7CzHjh0TkdtPnK2srPS+eB09elQ0Gk2t8xcRGT9+vHh4eMicOXMkJydHSkpKpKSkRHJycuSzzz4TT09P+X//7/8ZVMaHH34o9vb2kpCQIEOGDBEbGxuZPn26Ll2JoOuvAyh/P5QaWLGzs9PdD29vb9mzZ49e+pEjRwy6Hy4uLrr/RpWUlIilpaXe31RWVpa4ubnVOn8RkUaNGskvv/xSbfq2bdukUaNGBpUhcjsQaty4sbz77rsyceJE0Wg0Mnz4cF26Ev/G6d6cPn1aAMivv/6qd378+PHSvn17M9XKMD/99JN8++23sn//fklPT5eoqCjx9/eXoqIic1etVv4elP7yyy8CQPLz8/WuGzhwoAwaNMjEtaudqgLtJUuWSFpamhw4cEBSU1OlZcuW0q5dO71Bv/tZeXm59OrVSzp06KA7980334iNjU2la9u1a2dw32kKVbVJROSzzz6T9PR0OXDggCxatEiaNGki8fHxZqrlvTlw4IA4ODiIpaWlaDQa+fHHH0Wkbt+j6tokUjfvkaHqZaD9ySefiFqtlsTERElLS5MdO3bIjh07JC0tTRITE8XOzk5mzZplUBn+/v6yefNm3efz589L+/btJSYmRm7cuKHIF/EVK1aIn5+ffPzxx7pzSgbaffv2lQkTJojI7SdTf5+KPnfuXGnWrJnB5Zgi+HJ0dKwURPxVZmamODo61jp/U9zvixcvSv/+/aVLly5607eVvOdhYWGydOlSERFp2bKlrF+/Xi/9119/FVdX11rn7+7uLllZWSIiUlxcLBYWFnrTnPbv329QIC9y+6l8enp6tenp6eni6elpUBmhoaHyzTff6D7/8ssv4uHhIZMmTRIRZQLt8PBw6dWrlxw+fFhOnjwpJ0+elJycHLGyspL169frzhkiMjJSPv/8cxERiYiIqPQlct26deLl5VXr/Bs1aiRHjx4VkdtPhC0tLWX37t269MOHD4uLi0ut8xe5/d+P3377rdr0Xbt2ibOzs0FliIgEBwfrLZXJzs6W4OBgee6550Sr1fKJtgnVx0D77y5fvizOzs66KZV1TUMJtP+u4sn932c53a9GjBghAQEBkpeXpztXl4M4karbVJWKp8IV3z/vR6WlpZKdnS2ZmZkyYcIEcXd3l99//71O36Pq2lSVunCPDFUvA20RkaVLl0pkZKRYWVnpnhJZWVlJZGSkLFu2zOD87ezsdE8GKxQVFUlUVJR07dpVTpw4ociXslOnTknXrl2lR48ecubMGUWDrkOHDombm5sMHTpU3nrrLXF0dJQhQ4bI22+/LUOHDhW1Wi0LFiwwuBxTBF9ubm53fNq7efNmg56smep+i4h8+umn4uPjI4sXLxYRZQPtBQsWiK+vr2zevFm++uoradmypWzYsEFOnz4tmzZtkoceesigabj9+vWT3r17y7Zt22T48OHStm1b6dWrl1y7dk2Ki4vliSeekB49ehjUBnt7+zuu69+/f784ODgYVIadnZ3k5OTonTt48KA0btxYJkyYoEjQVVpaKq+88oqEhobqDRIpeb9/+OEHcXV1lQULFsiCBQskMDBQ5s2bJ7/88ot88cUX4ufnJ+PHj691/t26dZNhw4bJqVOnZOrUqRIcHCzPP/+8Lv1f//qXPProowa14emnn5aIiIgqB9L27Nkjbdq0kcGDBxtUhkjV9/zUqVPSvHlzGTx4sJw+fZqBtonUx6njVWnbtq1usLuuaShTx6vi7u4uc+bMMX6FDJSQkCC+vr6VvrvU5WnJ1bWpKteuXRMAdxyYv99069ZNhg8fXqfv0d9VtKkqdfEe1VS9DbQr3Lx5U/Lz8yU/P1/RjZJatGihNx2iwtWrVyUqKkrCw8MV+1Km1Wpl+vTp4uXlJZaWlop9CRe5PT38ySefFCcnJ92AhLW1tTzyyCP31OHcC1MEX//6178kICBAVqxYobdhWGFhoaxYsUICAwNl1KhRtc7flPdbROT333+X8PBweeqppxQNvERE3n//fbG3txc7OzuxsbHRWw/ev39/uXr1aq3zPnr0qDRr1kxUKpW0bNlSTp06JX379hUrKyuxsrISDw8PvSeetdGzZ0+JiYnRrS3/q/Pnz0uPHj2kV69eBpXh5+cnW7durXT+999/l8aNG8vQoUMVu98//fST+Pr6yvTp06W8vFzx+/3dd9+Jr69vpWnqtra2MmbMGIOmQO7atUvc3NzEwsJCPDw8JCsrSyIjI8XLy0t8fHzEzs7O4Cc/ly5dkh49eohKpRJXV1cJCQmRkJAQcXV1FQsLC4mLi6v0ZaQ2mjZtWmVdT58+Lc2bN5fu3bsz0Dah9u3b6/03u7y8XJo0aVJnN0P7u6tXr4qLi4vBm5qaS3Wbob333nu6c4WFhXV+M7S/y8vLE5VKJWlpaaapVC1otVpJSEgQHx8f3Yyjv6rYaOu7777Tnfvjjz/u64227tamqmzbtk0AGLzXiSl16dJFnn322Tp5j6pT0aaq1MV7VFP1PtA2ltGjR1e75reoqEgiIyMV/1KWmZkpH3zwgVy6dEnRfEVENzVS6QEJEdMEXzdu3JARI0boAkdbW1uxtbUVCwsLsbGxkZEjR8qNGzdqnb857ndpaamMHTtWWrdufU+jtzVx+fJl+fbbbyUlJUWmT58uCxYsuOfO6178fbOYDRs2yOrVqxXZRKZiZ2srKyuJiIiQHj16SI8ePSQiIkKsrKwkLCxMcnNzDSrjqaeekjFjxlSZlpWVJR4eHore74KCAomLi5NHH31U8UBb5PamJLt27ZKlS5fK4sWLZfPmzYqtDb127ZpkZmbqBmiuX78u8+bNk48//rjKPRNq69ChQ/LFF1/I9OnTZfr06fLFF1/ccdPLmho2bJi88MILVaadOnVKgoODGWib0NKlS0WtVsvChQvl0KFDMnz4cGnUqJEUFBSYu2q18uqrr0pGRobk5OTIL7/8ItHR0eLu7i7nzp0zd9Xu2dWrV2Xv3r2yd+9eASAzZ86UvXv36jZ1S0lJkUaNGunWNPfr10+aNm0q169fN3PNq3enNl29elX+/e9/y/bt2yUnJ0c2bNggDz/8sDRr1syg7xPGNnLkSNFoNJKRkSFnzpzRHSUlJbprRowYIf7+/rJp0ybJzMyUqKgoiYqKMmOt7+xubTp27Ji8+eabkpmZKTk5OZKWliYPPPCAdOrUycw1r96ECRNky5YtkpOTIwcOHJAJEyaISqWSdevWiUjdu0cid25TXbxHSmCgXUuXLl3STYeuSlFRkcEbV5lCfn6+TJo0Sbp06SIhISESGhoqvXv3lnnz5im+2Ycxg68KhYWFsmnTJlm8eLEsXrxYNm3aZPArsUTqz/2uL8rLy+Wnn36SyZMny/Dhw2X48OEyefJkWbNmjSI7ju/fv1+++OKLatMPHjwob7zxhsHl/N2HH34o/fv3v+vaM1LeyZMn7zh97fTp07Jw4UIT1og+/vhj8ff3FxsbG2nfvr3s2LHD3FWqtSeffFK8vb3FxsZGmjRpIk8++WSdW5e4efNmAVDpqHhapdVqZdKkSdK4cWNRq9XSrVs3OXLkiHkrfRd3alNJSYnExMSIh4eHWFtbS0BAgLz00kv3/WBPVe0BoLcU8Pr16/Kvf/1LXFxcxN7eXuLj4+XMmTPmq/Rd3K1Nubm50qlTJ3F1dRW1Wi3BwcEyfvx4Rb7/GcsLL7wgAQEBYmNjIx4eHtKtWzddkC1S9+6RyJ3bVBfvkRJUIiKKvJC7ATp8+DB27NiBqKgohISE4I8//sCHH36I0tJSDBkyBF27dq113nv27IGLiwuaNm0KAPj6668xZ84c5ObmIiAgAKNGjcI///lPg+qfmZmJ6OhoBAcHw87ODtu3b8fTTz+NmzdvYu3atQgNDUV6ejqcnJwMKodqRqvVwsLCosrzp06dgr+/v6Ll5eTk4NixY/D29karVq0Mzm///v3YvXs3OnfujAceeAC///47Zs2aBa1Wi/j4eMTGxipQa1LC5cuXsXr1agwdOlTRfLt27YoFCxYgICBAkfz4N0VERER1jrkj/bpqzZo1YmNjI66urmJraytr1qwRDw8PiY6Olq5du4qlpaVs3Lix1vmHhYXpdoSeO3eu2NnZSWJiosyePVvGjBkjjo6Old7zWlMdOnTQeyr39ddfS2RkpIjcfoLbunVrRTcxycvLq3L9782bN2XLli0G5/3XNbtbt26Vp59+Wjp27CiDBw+utHttbZSUlMj8+fPl+eeflx49ekjPnj1l1KhRiu0+aop3dY8cOVJ3D0pKSmTAgAF6r5Tq0qWLQWu0v//+e7G0tBQ3NzdxdHSU9evXS6NGjSQ6OlpiY2PF0tJSbzdvQ1T35Lq8vNwo76c9ceKErFu3Tu+9nYbat2+fzJ8/X44fPy4it6eljxw5Ul5++WWTbA6yb98+g/6m0tLSqjwsLS3lk08+0X02hCn/pu7k0qVLd3xtJBEREdFfMdCupaioKJk4caKI3H7PoouLi/znP//RpU+YMEG6d+9e6/zt7Ox0r/aJiIjQvaKnwjfffCOhoaG1zr+ijIov+CK3AxRra2vdtKh169aJj4+PQWWI3J6e3q5dO7GwsBBLS0t55pln9II5JQLI9u3b617Ns3LlSrGwsJC+ffvKa6+9JvHx8WJtba336p6ays7OloCAAPH09BQ/Pz9RqVTSq1cviYyMFEtLSxk4cKDcunXLoDaY4l3dFhYWcvbsWRERSUpKEl9fX9m0aZMUFxfLtm3bJCgoyKBdcB9++GGZNm2aiNz+d9GoUSN58803denvvfeetG7d2qA2mGtA4q/vtjZ0QELENAFkYWHhHY+ff/7ZoN/Vnd4F/tcBHEOY4m/qXhg6KEFEREQNCwPtWnJ2dpbs7GwREd1OwX99/UzFq4Bqy83NTTIzM0VExNPTU/bt26eXfuzYMbGzs6t1/iIiAQEBsm3bNt3n/Px8UalUus0lcnJyxNbW1qAyRG6/kiUyMlJ+++03Wb9+vbRp00batm2r29RNiQDSwcFBt2FYZGSkpKSk6KV//PHHEhERUev84+Li5OWXXxatVisitzd9iYuLE5Hbm70FBgbKlClTap2/iGne1a1SqXSBdqtWrXSvEKuQlpYmzZs3r3X+Dg4OulckabVasba21nsV1/Hjxw16n7lI/RiQEDFNAFkR6FZ3GBoIV+zwXvG7qqDkhm6m+JsSMf6gBBERETUsDLRrydnZWW8jE0dHR72nwydPnjQoSB0yZIgMGzZMREQGDhwor7/+ul769OnT5aGHHqp1/iIir7zyirRq1UrWrFkjmzZtki5dukjnzp116enp6RIUFGRQGSIiPj4+snPnTt3nGzduSJ8+faR169Zy8eJFRQJIjUajez2Ap6dnpVcFHDt2TOzt7Wudv729vd6u3KWlpWJtba3byG3lypUSGBhY6/xFTPOubpVKpdvl9q/vN69w8uRJgwZwvLy8dANEly5dEpVKpTd4sGvXLvHy8qp1/iL1Y0BCxDQBpLOzs7zzzjuSkZFR5TF37lyDf1czZ84UPz8/vRkjSgbapvibEjH+oAQRERE1LFbmXiNeVwUGBiI7OxtBQUEAgO3bt+ttUpWbmwtvb+9a5//OO++gQ4cOeOyxx9C2bVu8//77yMjIQMuWLXHkyBHs2LEDqampBrVh2rRpOHPmDPr06YPy8nJERUVh0aJFunSVSoXk5GSDygCAwsJCuLi46D6r1WqsWLECAwcORJcuXfTKrK3HHnsMS5YsQVhYGCIiIpCRkYGwsDBd+ubNm9GkSZNa59+oUSNcvXpV97mkpARlZWWwsbEBAISFheHMmTO1bwAAf39/HD58WLcBHgA4OTlh3bp1iImJQXx8vEH5V5g0aRLs7e1hYWGB/Px8PPjgg7q0ixcvwsHBodZ5R0dHIyEhAaNHj8ayZcsQExODpKQkLFiwACqVCuPHj0fHjh0Nqv/58+f1Ntlyd3fHhg0bEBsbi549e2LevHkG5V9BpVIBAAoKCvT+lgAgPDwceXl5BuXv5OSEixcvIjAwEFeuXEFZWRkuXryoS7948SIcHR0NKuPhhx8GcPvfR1UaNWoEMXA/zLFjx6JLly4YPHgwVq9ejf/+978G5fd3pvibAm7fj4kTJyIyMrLK9OzsbLz88ssGl0NEREQNAwPtWho5ciTKy8t1n/++W/OaNWsM2nXcx8cHe/fuRUpKClavXg0Rwa5du5CXl4cOHTrgl19+Qdu2bWudPwA4Ojpi2bJluHHjBsrKyip9qY+JiTEo/woPPPAADhw4gGbNmunOWVlZYfny5Rg4cCB69+5tcBkpKSl49NFHkZ+fj44dO2LixIn47bffdAMTy5Ytw5w5c2qdf/fu3TFu3DjMmTMHarUaSUlJaN26tW5H9tzcXHh6ehrUhpiYGCxYsAA9e/bUO+/o6Ii1a9eie/fuBuUPAJ06dcKRI0cAAKGhofjzzz/10n/66Se9wLum3nvvPTzzzDMYMWIEOnTogGXLluH1119HaGgoVCoVgoKCMH/+fIPaUB8GJADTBJBPP/00rl+/Xm26l5cXpkyZYlAZANC6dWtkZmZi7NixaN26tcHB+1+Z4m8KMM2gBBERETUcfL0XGd1rr72Gffv2Ye3atZXSysrKMGDAAKxevRpardagco4fP47XX38dP/74I65duwbgdkDfrl07jB8/Hv3796913ufOnUO/fv2wc+dOqFQq+Pn5ITU1FREREQCA7777DmfOnMHo0aNrXcbly5crBXR/dfXqVezZs6faQEAJJ06cgI2NDXx9fRXPt6SkBCEhIbCyMmx8LzExEWfOnMHy5csrpV29ehXdu3fHb7/9pjcQVlOdO3fWPdEGgMGDB+PFF1/UfZ42bRo2bNiAjIyMWpdx9uxZPPPMM9i+fbteADlr1iwAQHBwMNasWaObNaMkEdFrn5JWrVqFjRs3YuLEiQYPPt2Jkn9TADB37lxcv34diYmJVaafPXsWc+bMUWRggoiIiOo/BtpkdGVlZSgpKYGzs3O16adPn1bsnbsignPnzkGr1cLd3R3W1taK5Avcnj5aWlqq2Jd7qrn6PCBRkbeSAWRVbGxssH//frRs2bJO5m+qMoiIiIhqi5ECGZ2VlVW1QTYAnDlzBlOnTsUXX3yhSHkqlQqNGzfWO5eXl4cpU6YYXMZfp78bI//r169j9+7dcHV1RWhoqF7ajRs38O2332Lo0KH3dRnGzt/FxQUFBQVYsGABoqKiEBISgj/++AMffvghSktLMWTIEIOWbVQ4fPgwduzYgUceeQQtWrSok2WMGzeuyvPl5eVISUmBm5sbAGDmzJn3Zf6mKqMqxcXF+Pbbb3Hs2DF4e3vjqaee0pVFREREdDd8ok1mt3//fjz88MMGTfU1dxlK5H/06FHExMQgNzcXKpUKHTt2xNKlS3Wb6p09exY+Pj73dRmmaEN6ejr69esHR0dHlJSUIDU1FUOHDkV4eDi0Wi22bNmCdevWGRSk1pcyLCwsEB4ejkaNGumd37JlC9q2bQsHBweoVCps2rTpvszfVGUAt/cs2LZtG1xdXZGXl4dOnTrh8uXLaN68OY4fPw4rKyvs2LFDb28AIiIiouow0CajW7Vq1R3TT5w4gVdffdWg4MvYZZiiDfHx8bh16xYWLlyIK1euYMyYMTh06BAyMjLg7++vSJBq7DJM0YZHHnkEXbt2xbRp07B06VL861//wsiRI/H2228DAJKSkrB7926sW7euwZeRkpKCzz//HPPmzdML2K2trbF///5KMw7ut/xNVQZwO6AvKCiAp6cnhgwZgpycHPz000/QaDS4du0a4uPj4eHhgcWLFytSHhEREdVz5ninGDUsFe+fValU1R5KvPfYmGWYog2enp5671HWarUyYsQI8ff3l+PHjyvyfmhjl2GKNjg7O0t2draIiJSXl4uVlZXs2bNHl37w4EFp3Lgxy/g/u3btkubNm8urr74qN2/eFBFl33Nt7PxNVcZf353+wAMPyLp16/TSf/nlF/Hz81OsPCIiIqrfLMwd6FP95+3tjRUrVkCr1VZ57Nmz574vwxRtuH79ut7mVyqVCrNnz0afPn3w2GOP4ejRo/d9GaZoQ0W+wO2nkLa2ttBoNLo0JycnFBYWsoz/065dO+zevRvnz59H27ZtkZWVpeiO48bO31RlAP+7Hzdu3NAtd6jQpEkTnD9/XvEyiYiIqH5ioE1G16ZNG+zevbvadJVKZfD7aY1dhinaEBISgszMzErnP/nkE/Tr1w99+/Y1KH9TlGGKNgQGBiI7O1v3efv27fD399d9zs3NrRQkNdQyKjg6OuLLL79EUlISoqOjFd+rwNj5m6qMbt264eGHH0ZRUZHuffMV/vzzT26GRkRERPeMu46T0Y0fPx7FxcXVpgcHB2Pz5s33dRmmaEN8fDyWLFmCZ555plLaJ598Aq1Wizlz5tzXZZiiDSNHjtQLslq1aqWXvmbNGoN3664vZfzdP//5T3Ts2BG7d+9W7HV6pszfmGX8/f3Yjo6Oep9Xr16NRx99VLHyiIiIqH7jZmhERERERERECuLUcSIiIiIiIiIFMdAmIiIiIiIiUhADbSIiIiIiIiIFMdAmIiIiIiIiUhADbSIiIiIiIiIFMdAmIiIiIiIiUhADbSIiIiIiIiIFMdAmIiIiIiIiUtD/BwkXhQbh6SglAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 1200x1200 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"element_size_distribution(element_sizes['hitcircleoverlay'])"
]
},
{
"cell_type": "code",
"execution_count": 30,
"id": "ea245078",
"metadata": {},
"outputs": [],
"source": [
"ecdf = cumulative_distribution(element_sizes['hitcircleoverlay'])"
]
},
{
"cell_type": "markdown",
"id": "f76255dc",
"metadata": {},
"source": [
"Existing minimum breaks"
]
},
{
"cell_type": "code",
"execution_count": 31,
"id": "ed60291a",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.1596091205211726"
]
},
"execution_count": 31,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"1 - ecdf[128, 128]"
]
},
{
"cell_type": "code",
"execution_count": 32,
"id": "5d844dca",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1000x1000 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_cumulative_distribution(ecdf)"
]
},
{
"cell_type": "markdown",
"id": "0451bc5f",
"metadata": {},
"source": [
"Alternatives:"
]
},
{
"cell_type": "code",
"execution_count": 33,
"id": "56a390b8",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.0228013029315961"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"1 - ecdf[192, 192]"
]
},
{
"cell_type": "code",
"execution_count": 34,
"id": "39f47a6a",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.001357220412595006"
]
},
"execution_count": 34,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"1 - ecdf[256, 256]"
]
},
{
"cell_type": "markdown",
"id": "4c36194a",
"metadata": {},
"source": [
"### `sliderstartcircleoverlay`"
]
},
{
"cell_type": "code",
"execution_count": 35,
"id": "6a5a9732",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1200x1200 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"element_size_distribution(element_sizes['sliderstartcircleoverlay'])"
]
},
{
"cell_type": "code",
"execution_count": 36,
"id": "d916ec86",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.15514993481095174"
]
},
"execution_count": 36,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ecdf = cumulative_distribution(element_sizes['sliderstartcircleoverlay'])\n",
"1 - ecdf[128, 128]"
]
},
{
"cell_type": "code",
"execution_count": 37,
"id": "f0118650",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1000x1000 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_cumulative_distribution(ecdf)"
]
},
{
"cell_type": "code",
"execution_count": 38,
"id": "4d07b0f0",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.0026075619295958807"
]
},
"execution_count": 38,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"1 - ecdf[256, 256]"
]
},
{
"cell_type": "markdown",
"id": "c4f11899",
"metadata": {},
"source": [
"### `sliderendcircleoverlay`"
]
},
{
"cell_type": "code",
"execution_count": 39,
"id": "4b8b94c2",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1200x1200 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"element_size_distribution(element_sizes['sliderendcircleoverlay'])"
]
},
{
"cell_type": "code",
"execution_count": 40,
"id": "6df46ee6",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.049090909090909074"
]
},
"execution_count": 40,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ecdf = cumulative_distribution(element_sizes['sliderendcircleoverlay'])\n",
"1 - ecdf[128, 128]"
]
},
{
"cell_type": "code",
"execution_count": 41,
"id": "a31abccd",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1000x1000 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_cumulative_distribution(ecdf)"
]
},
{
"cell_type": "code",
"execution_count": 42,
"id": "d3ead593",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.0072727272727273196"
]
},
"execution_count": 42,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"1 - ecdf[256, 256]"
]
},
{
"cell_type": "markdown",
"id": "075afb5a",
"metadata": {},
"source": [
"yeah go on make the joke"
]
},
{
"cell_type": "markdown",
"id": "e19b7707",
"metadata": {},
"source": [
"### `reversearrow`"
]
},
{
"cell_type": "code",
"execution_count": 43,
"id": "fd24264c",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1200x1200 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"element_size_distribution(element_sizes['reversearrow'])"
]
},
{
"cell_type": "code",
"execution_count": 44,
"id": "db8f0fff",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.36474164133738607"
]
},
"execution_count": 44,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ecdf = cumulative_distribution(element_sizes['reversearrow'])\n",
"1 - ecdf[128, 128]"
]
},
{
"cell_type": "code",
"execution_count": 45,
"id": "0ce79364",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1000x1000 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_cumulative_distribution(ecdf)"
]
},
{
"cell_type": "code",
"execution_count": 46,
"id": "18e13b72",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.0019342359767892114"
]
},
"execution_count": 46,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"1 - ecdf[256, 256]"
]
},
{
"cell_type": "markdown",
"id": "3adb770f",
"metadata": {},
"source": [
"### `sliderb`"
]
},
{
"cell_type": "markdown",
"id": "f41db72c",
"metadata": {},
"source": [
"This is actually split into animated and non-animated, which I don't really care about, so let's merge them first..."
]
},
{
"cell_type": "code",
"execution_count": 47,
"id": "81f0bc64",
"metadata": {},
"outputs": [],
"source": [
"sliderb = pd.concat([element_sizes['sliderb'], element_sizes['sliderb0']]).groupby(['w', 'h']).sum('count').reset_index()"
]
},
{
"cell_type": "code",
"execution_count": 48,
"id": "154f7994",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1200x1200 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"element_size_distribution(sliderb)"
]
},
{
"cell_type": "code",
"execution_count": 49,
"id": "d9adfc83",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.4089294774226281"
]
},
"execution_count": 49,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ecdf = cumulative_distribution(sliderb)\n",
"1 - ecdf[128, 128]"
]
},
{
"cell_type": "code",
"execution_count": 50,
"id": "d811a562",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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